264083328 has 80 divisors (see below), whose sum is σ = 785938560. Its totient is φ = 88024320.

The previous prime is 264083317. The next prime is 264083353. The reversal of 264083328 is 823380462.

264083328 is a `hidden beast` number, since 2 + 640 + 8 + 3 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 264083292 and 264083301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2368 + ... + 23103.

It is an arithmetic number, because the mean of its divisors is an integer number (9824232).

Almost surely, 2^264083328 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 264083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392969280).

264083328 is an abundant number, since it is smaller than the sum of its proper divisors (521855232).

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

264083328 is an equidigital number, since it uses as much as digits as its factorization.

264083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25497 (or 25476 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 264083328 is about 16250.6408489019. The cubic root of 264083328 is about 641.5743531973.

The spelling of 264083328 in words is "two hundred sixty-four million, eighty-three thousand, three hundred twenty-eight".