30264864 has 96 divisors (see below), whose sum is σ = 93985920. Its totient is φ = 8343552.

The previous prime is 30264863. The next prime is 30264881. The reversal of 30264864 is 46846203.

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

It is not an unprimeable number, because it can be changed into a prime (30264863) 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, 18712 + ... + 20264.

It is an arithmetic number, because the mean of its divisors is an integer number (979020).

Almost surely, 2^30264864 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 30264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46992960).

30264864 is an abundant number, since it is smaller than the sum of its proper divisors (63721056).

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

30264864 is a wasteful number, since it uses less digits than its factorization.

30264864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 30264864 is about 5501.3511067737. The cubic root of 30264864 is about 311.6350104000.

The spelling of 30264864 in words is "thirty million, two hundred sixty-four thousand, eight hundred sixty-four".