264671064 has 320 divisors, whose sum is σ = 926956800. Its totient is φ = 68864256.

The previous prime is 264671059. The next prime is 264671107. The reversal of 264671064 is 460176462.

264671064 is a `hidden beast` number, since 2 + 646 + 7 + 1 + 0 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3188767 + ... + 3188849.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^264671064 is an apocalyptic number.

264671064 is a gapful number since it is divisible by the number (24) 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 264671064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463478400).

264671064 is an abundant number, since it is smaller than the sum of its proper divisors (662285736).

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

264671064 is a wasteful number, since it uses less digits than its factorization.

264671064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 264671064 is about 16268.7142700338. The cubic root of 264671064 is about 642.0499568078.

The spelling of 264671064 in words is "two hundred sixty-four million, six hundred seventy-one thousand, sixty-four".