31140400 has 60 divisors (see below), whose sum is σ = 75526912. Its totient is φ = 12337920.

The previous prime is 31140391. The next prime is 31140401. The reversal of 31140400 is 404113.

It is not an unprimeable number, because it can be changed into a prime (31140401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50494 + ... + 51106.

Almost surely, 2^31140400 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 31140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37763456).

31140400 is an abundant number, since it is smaller than the sum of its proper divisors (44386512).

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

31140400 is a wasteful number, since it uses less digits than its factorization.

31140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 31140400 is about 5580.3584114284. The cubic root of 31140400 is about 314.6115982186.

Adding to 31140400 its reverse (404113), we get a palindrome (31544513).

The spelling of 31140400 in words is "thirty-one million, one hundred forty thousand, four hundred".