4161600 has 189 divisors, whose sum is σ = 15712567. Its totient is φ = 1044480.

The previous prime is 4161593. The next prime is 4161607. The reversal of 4161600 is 61614.

The square root of 4161600 is 2040.

It is a perfect power (a square), and thus also a powerful number.

4161600 is a `hidden beast` number, since 4 + 1 + 61 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4161593) and next prime (4161607).

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 4064256 = 312^2 + 2016^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4161607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 244792 + ... + 244808.

Almost surely, 2^4161600 is an apocalyptic number.

4161600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4161600 is the 2040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161600

4161600 is an abundant number, since it is smaller than the sum of its proper divisors (11550967).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4161600 is a wasteful number, since it uses less digits than its factorization.

4161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 4161600 is about 160.8496468071.

Multiplying 4161600 by its product of nonzero digits (144), we get a square (599270400 = 24480²).

4161600 divided by its product of nonzero digits (144) gives a square (28900 = 170²).

It can be divided in two parts, 4161 and 600, that added together give a square (4761 = 69²).

The spelling of 4161600 in words is "four million, one hundred sixty-one thousand, six hundred".