1001600 has 48 divisors (see below), whose sum is σ = 2482170. Its totient is φ = 399360.

The previous prime is 1001593. The next prime is 1001621. The reversal of 1001600 is 61001.

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 602176 = 632^2 + 776^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3044 + ... + 3356.

2^1001600 is an apocalyptic number.

1001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241085).

1001600 is an abundant number, since it is smaller than the sum of its proper divisors (1480570).

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

1001600 is an equidigital number, since it uses as much as digits as its factorization.

1001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1001600 is about 1000.7996802557. The cubic root of 1001600 is about 100.0533049141.

Adding to 1001600 its reverse (61001), we get a palindrome (1062601).

It can be divided in two parts, 100 and 1600, that multiplied together give a 4-th power (160000 = 20⁴).

The spelling of 1001600 in words is "one million, one thousand, six hundred".