31029984 has 72 divisors (see below), whose sum is σ = 88917192. Its totient is φ = 10264320.

The previous prime is 31029979. The next prime is 31030001. The reversal of 31029984 is 48992013.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 46614 + ... + 47274.

It is an arithmetic number, because the mean of its divisors is an integer number (1234961).

Almost surely, 2^31029984 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 31029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44458596).

31029984 is an abundant number, since it is smaller than the sum of its proper divisors (57887208).

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

31029984 is a wasteful number, since it uses less digits than its factorization.

31029984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 31029984 is about 5570.4563547343. The cubic root of 31029984 is about 314.2393134174.

The spelling of 31029984 in words is "thirty-one million, twenty-nine thousand, nine hundred eighty-four".