31329480 has 256 divisors, whose sum is σ = 122572800. Its totient is φ = 6220800.

The previous prime is 31329479. The next prime is 31329511. The reversal of 31329480 is 8492313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207405 + ... + 207555.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^31329480 is an apocalyptic number.

31329480 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 31329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

31329480 is an abundant number, since it is smaller than the sum of its proper divisors (91243320).

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

31329480 is a wasteful number, since it uses less digits than its factorization.

31329480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 31329480 is about 5597.2743366749. The cubic root of 31329480 is about 315.2470724702.

The spelling of 31329480 in words is "thirty-one million, three hundred twenty-nine thousand, four hundred eighty".