31604400 has 90 divisors (see below), whose sum is σ = 109688540. Its totient is φ = 8426880.

The previous prime is 31604387. The next prime is 31604453. The reversal of 31604400 is 440613.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 790 + ... + 7989.

Almost surely, 2^31604400 is an apocalyptic number.

31604400 is a gapful number since it is divisible by the number (30) 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 31604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54844270).

31604400 is an abundant number, since it is smaller than the sum of its proper divisors (78084140).

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

31604400 is a wasteful number, since it uses less digits than its factorization.

31604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31604400 is about 5621.7790778365. The cubic root of 31604400 is about 316.1664988085.

The spelling of 31604400 in words is "thirty-one million, six hundred four thousand, four hundred".