30668832 has 72 divisors (see below), whose sum is σ = 88334064. Its totient is φ = 10091904.

The previous prime is 30668809. The next prime is 30668837. The reversal of 30668832 is 23886603.

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 not an unprimeable number, because it can be changed into a prime (30668837) 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, 23263 + ... + 24545.

It is an arithmetic number, because the mean of its divisors is an integer number (1226862).

Almost surely, 2^30668832 is an apocalyptic number.

30668832 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 30668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44167032).

30668832 is an abundant number, since it is smaller than the sum of its proper divisors (57665232).

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

30668832 is a wasteful number, since it uses less digits than its factorization.

30668832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30668832 is about 5537.9447451198. The cubic root of 30668832 is about 313.0154292904.

The spelling of 30668832 in words is "thirty million, six hundred sixty-eight thousand, eight hundred thirty-two".