31790880 has 240 divisors, whose sum is σ = 122943744. Its totient is φ = 7672320.

The previous prime is 31790839. The next prime is 31790893. The reversal of 31790880 is 8809713.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142449 + ... + 142671.

Almost surely, 2^31790880 is an apocalyptic number.

31790880 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 31790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

31790880 is an abundant number, since it is smaller than the sum of its proper divisors (91152864).

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

31790880 is a wasteful number, since it uses less digits than its factorization.

31790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

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

The square root of 31790880 is about 5638.3401812945. The cubic root of 31790880 is about 316.7871206885.

The spelling of 31790880 in words is "thirty-one million, seven hundred ninety thousand, eight hundred eighty".