31068400 has 120 divisors (see below), whose sum is σ = 85244544. Its totient is φ = 10771200.

The previous prime is 31068371. The next prime is 31068451. The reversal of 31068400 is 486013.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101047 + ... + 101353.

Almost surely, 2^31068400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42622272).

31068400 is an abundant number, since it is smaller than the sum of its proper divisors (54176144).

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

31068400 is a wasteful number, since it uses less digits than its factorization.

31068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 31068400 is about 5573.9034796092. The cubic root of 31068400 is about 314.3689389986.

The spelling of 31068400 in words is "thirty-one million, sixty-eight thousand, four hundred".