30538656 has 72 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 10074240.

The previous prime is 30538637. The next prime is 30538657. The reversal of 30538656 is 65683503.

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 self number, because there is not a number n which added to its sum of digits gives 30538656.

It is not an unprimeable number, because it can be changed into a prime (30538657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30321 + ... + 31311.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^30538656 is an apocalyptic number.

30538656 is a gapful number since it is divisible by the number (36) 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 30538656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

30538656 is an abundant number, since it is smaller than the sum of its proper divisors (57205728).

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

30538656 is a wasteful number, since it uses less digits than its factorization.

30538656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 30538656 is about 5526.1791501905. The cubic root of 30538656 is about 312.5719292558.

The spelling of 30538656 in words is "thirty million, five hundred thirty-eight thousand, six hundred fifty-six".