264675320 has 256 divisors, whose sum is σ = 798336000. Its totient is φ = 76640256.

The previous prime is 264675311. The next prime is 264675331. The reversal of 264675320 is 23576462.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2973836 + ... + 2973924.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^264675320 is an apocalyptic number.

264675320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264675320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

264675320 is an abundant number, since it is smaller than the sum of its proper divisors (533660680).

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

264675320 is a wasteful number, since it uses less digits than its factorization.

264675320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 264675320 is about 16268.8450727149. The cubic root of 264675320 is about 642.0533982493.

The spelling of 264675320 in words is "two hundred sixty-four million, six hundred seventy-five thousand, three hundred twenty".