30655872 has 192 divisors, whose sum is σ = 100245600. Its totient is φ = 8921088.

The previous prime is 30655853. The next prime is 30655897. The reversal of 30655872 is 27855603.

30655872 is a `hidden beast` number, since 30 + 6 + 558 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344404 + ... + 344492.

Almost surely, 2^30655872 is an apocalyptic number.

30655872 is a gapful number since it is divisible by the number (32) 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 30655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

30655872 is an abundant number, since it is smaller than the sum of its proper divisors (69589728).

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

30655872 is a wasteful number, since it uses less digits than its factorization.

30655872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 30655872 is about 5536.7745122950. The cubic root of 30655872 is about 312.9713318441.

The spelling of 30655872 in words is "thirty million, six hundred fifty-five thousand, eight hundred seventy-two".