264123864 has 48 divisors (see below), whose sum is σ = 752988600. Its totient is φ = 83407104.

The previous prime is 264123859. The next prime is 264123877. The reversal of 264123864 is 468321462.

264123864 is a `hidden beast` number, since 2 + 641 + 2 + 3 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×264123864² = 139522831068580992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95169 + ... + 97904.

Almost surely, 2^264123864 is an apocalyptic number.

264123864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264123864 is an abundant number, since it is smaller than the sum of its proper divisors (488864736).

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

264123864 is a wasteful number, since it uses less digits than its factorization.

264123864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193104 (or 193097 counting only the distinct ones).

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

The square root of 264123864 is about 16251.8880133971. Note that the first 3 decimals coincide. The cubic root of 264123864 is about 641.6071780985.

It can be divided in two parts, 26412 and 3864, that added together give a square (30276 = 174²).

The spelling of 264123864 in words is "two hundred sixty-four million, one hundred twenty-three thousand, eight hundred sixty-four".