30055680 has 108 divisors (see below), whose sum is σ = 104029380. Its totient is φ = 8011776.

The previous prime is 30055673. The next prime is 30055691. The reversal of 30055680 is 8655003.

30055680 is a `hidden beast` number, since 30 + 0 + 556 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 17438976 = 3552^2 + 4176^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10216 + ... + 12824.

It is an arithmetic number, because the mean of its divisors is an integer number (963235).

Almost surely, 2^30055680 is an apocalyptic number.

30055680 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 30055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52014690).

30055680 is an abundant number, since it is smaller than the sum of its proper divisors (73973700).

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

30055680 is a wasteful number, since it uses less digits than its factorization.

30055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 30055680 is about 5482.3060841219. The cubic root of 30055680 is about 310.9153659067.

The spelling of 30055680 in words is "thirty million, fifty-five thousand, six hundred eighty".