30056640 has 112 divisors (see below), whose sum is σ = 96560640. Its totient is φ = 7920640.

The previous prime is 30056633. The next prime is 30056657. The reversal of 30056640 is 4665003.

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 30056640.

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, 125641 + ... + 125879.

Almost surely, 2^30056640 is an apocalyptic number.

30056640 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 30056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280320).

30056640 is an abundant number, since it is smaller than the sum of its proper divisors (66504000).

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

30056640 is a wasteful number, since it uses less digits than its factorization.

30056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 30056640 is about 5482.3936378192. The cubic root of 30056640 is about 310.9186761582.

The spelling of 30056640 in words is "thirty million, fifty-six thousand, six hundred forty".