30131568 has 80 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 9512640.

The previous prime is 30131567. The next prime is 30131581. The reversal of 30131568 is 86513103.

It is a super-2 number, since 2×30131568² = 1815822780277248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6373 + ... + 10043.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 2^30131568 is an apocalyptic number.

30131568 is a gapful number since it is divisible by the number (38) 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 30131568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

30131568 is an abundant number, since it is smaller than the sum of its proper divisors (60934032).

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

30131568 is a wasteful number, since it uses less digits than its factorization.

30131568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 30131568 is about 5489.2228958205. Note that the first 3 decimals coincide. The cubic root of 30131568 is about 311.1768241387.

The spelling of 30131568 in words is "thirty million, one hundred thirty-one thousand, five hundred sixty-eight".