264314934 has 64 divisors (see below), whose sum is σ = 646087680. Its totient is φ = 79587360.

The previous prime is 264314923. The next prime is 264314951. The reversal of 264314934 is 439413462.

It is a happy number.

264314934 is a `hidden beast` number, since 2 + 643 + 1 + 4 + 9 + 3 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28989 + ... + 36999.

It is an arithmetic number, because the mean of its divisors is an integer number (10095120).

Almost surely, 2^264314934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264314934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323043840).

264314934 is an abundant number, since it is smaller than the sum of its proper divisors (381772746).

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

264314934 is a wasteful number, since it uses less digits than its factorization.

264314934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8076 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 264314934 is about 16257.7653445976. The cubic root of 264314934 is about 641.7618559482.

The spelling of 264314934 in words is "two hundred sixty-four million, three hundred fourteen thousand, nine hundred thirty-four".