30879264 has 96 divisors (see below), whose sum is σ = 88482240. Its totient is φ = 9372672.

The previous prime is 30879253. The next prime is 30879269. The reversal of 30879264 is 46297803.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30879269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135919 + ... + 136145.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^30879264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30879264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241120).

30879264 is an abundant number, since it is smaller than the sum of its proper divisors (57602976).

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

30879264 is a wasteful number, since it uses less digits than its factorization.

30879264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 30879264 is about 5556.9113723363. The cubic root of 30879264 is about 313.7297091157.

The spelling of 30879264 in words is "thirty million, eight hundred seventy-nine thousand, two hundred sixty-four".