30661956 has 48 divisors (see below), whose sum is σ = 85612800. Its totient is φ = 9434016.

The previous prime is 30661927. The next prime is 30661957. The reversal of 30661956 is 65916603.

30661956 is a `hidden beast` number, since 30 + 6 + 619 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30661956.

It is not an unprimeable number, because it can be changed into a prime (30661957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9516 + ... + 12323.

It is an arithmetic number, because the mean of its divisors is an integer number (1783600).

Almost surely, 2^30661956 is an apocalyptic number.

30661956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30661956 is an abundant number, since it is smaller than the sum of its proper divisors (54950844).

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

30661956 is a wasteful number, since it uses less digits than its factorization.

30661956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21865 (or 21857 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 30661956 is about 5537.3239023918. The cubic root of 30661956 is about 312.9920346927.

The spelling of 30661956 in words is "thirty million, six hundred sixty-one thousand, nine hundred fifty-six".