30920640 has 112 divisors (see below), whose sum is σ = 101437440. Its totient is φ = 7971840.

The previous prime is 30920633. The next prime is 30920651. The reversal of 30920640 is 4602903.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30920640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29241 + ... + 30279.

Almost surely, 2^30920640 is an apocalyptic number.

30920640 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 30920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50718720).

30920640 is an abundant number, since it is smaller than the sum of its proper divisors (70516800).

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

30920640 is a wasteful number, since it uses less digits than its factorization.

30920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30920640 is about 5560.6330574855. The cubic root of 30920640 is about 313.8697716826.

The spelling of 30920640 in words is "thirty million, nine hundred twenty thousand, six hundred forty".