31400768 has 168 divisors, whose sum is σ = 83393280. Its totient is φ = 11612160.

The previous prime is 31400767. The next prime is 31400771. The reversal of 31400768 is 86700413.

It is a self number, because there is not a number n which added to its sum of digits gives 31400768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31400767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012913 + ... + 1012943.

Almost surely, 2^31400768 is an apocalyptic number.

31400768 is a gapful number since it is divisible by the number (38) 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 31400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

31400768 is an abundant number, since it is smaller than the sum of its proper divisors (51992512).

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

31400768 is a wasteful number, since it uses less digits than its factorization.

31400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 31400768 is about 5603.6388177683. The cubic root of 31400768 is about 315.4859987608.

The spelling of 31400768 in words is "thirty-one million, four hundred thousand, seven hundred sixty-eight".