1664100 has 81 divisors (see below), whose sum is σ = 5340153. Its totient is φ = 433440.

The previous prime is 1664083. The next prime is 1664101. The reversal of 1664100 is 14661.

The square root of 1664100 is 1290.

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

1664100 is a `hidden beast` number, since 1 + 664 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 599076 + 1065024 = 774^2 + 1032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1664101) 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, 38679 + ... + 38721.

2^1664100 is an apocalyptic number.

1664100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1664100 is the 1290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664100

1664100 is an abundant number, since it is smaller than the sum of its proper divisors (3676053).

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

1664100 is a wasteful number, since it uses less digits than its factorization.

1664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

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

The cubic root of 1664100 is about 118.5022164837.

Multiplying 1664100 by its product of nonzero digits (144), we get a square (239630400 = 15480²).

Adding to 1664100 its reverse (14661), we get a palindrome (1678761).

It can be divided in two parts, 1664 and 100, that added together give a square (1764 = 42²).

The spelling of 1664100 in words is "one million, six hundred sixty-four thousand, one hundred".