30264320 has 88 divisors (see below), whose sum is σ = 76050144. Its totient is φ = 11534336.

The previous prime is 30264319. The next prime is 30264329. The reversal of 30264320 is 2346203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30264292 and 30264301.

It is not an unprimeable number, because it can be changed into a prime (30264329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117632 + ... + 117888.

Almost surely, 2^30264320 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 30264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38025072).

30264320 is an abundant number, since it is smaller than the sum of its proper divisors (45785824).

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

30264320 is a wasteful number, since it uses less digits than its factorization.

30264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 30264320 is about 5501.3016641519. The cubic root of 30264320 is about 311.6331432132.

The spelling of 30264320 in words is "thirty million, two hundred sixty-four thousand, three hundred twenty".