31978080 has 144 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 8346624.

The previous prime is 31978057. The next prime is 31978103. The reversal of 31978080 is 8087913.

It is an interprime number because it is at equal distance from previous prime (31978057) and next prime (31978103).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76111 + ... + 76529.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^31978080 is an apocalyptic number.

31978080 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 31978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

31978080 is an abundant number, since it is smaller than the sum of its proper divisors (79471440).

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

31978080 is a wasteful number, since it uses less digits than its factorization.

31978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 31978080 is about 5654.9164450061. The cubic root of 31978080 is about 317.4077025204.

The spelling of 31978080 in words is "thirty-one million, nine hundred seventy-eight thousand, eighty".