31268400 has 120 divisors (see below), whose sum is σ = 101850624. Its totient is φ = 8198400.

The previous prime is 31268383. The next prime is 31268401. The reversal of 31268400 is 486213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31268401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85017 + ... + 85383.

Almost surely, 2^31268400 is an apocalyptic number.

31268400 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 31268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50925312).

31268400 is an abundant number, since it is smaller than the sum of its proper divisors (70582224).

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

31268400 is a wasteful number, since it uses less digits than its factorization.

31268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 31268400 is about 5591.8154475984. The cubic root of 31268400 is about 315.0420704706.

The spelling of 31268400 in words is "thirty-one million, two hundred sixty-eight thousand, four hundred".