30827264 has 72 divisors (see below), whose sum is σ = 67819920. Its totient is φ = 13897728.

The previous prime is 30827257. The next prime is 30827267. The reversal of 30827264 is 46272803.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30827264.

It is not an unprimeable number, because it can be changed into a prime (30827267) 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, 196274 + ... + 196430.

Almost surely, 2^30827264 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 30827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33909960).

30827264 is an abundant number, since it is smaller than the sum of its proper divisors (36992656).

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

30827264 is a wasteful number, since it uses less digits than its factorization.

30827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 30827264 is about 5552.2305427639. The cubic root of 30827264 is about 313.5535055324.

It can be divided in two parts, 308 and 27264, that added together give a palindrome (27572).

The spelling of 30827264 in words is "thirty million, eight hundred twenty-seven thousand, two hundred sixty-four".