168264864 has 84 divisors (see below), whose sum is σ = 496748826. Its totient is φ = 56080512.

The previous prime is 168264857. The next prime is 168264871. The reversal of 168264864 is 468462861.

168264864 is a `hidden beast` number, since 168 + 2 + 6 + 486 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (168264857) and next prime (168264871).

It can be written as a sum of positive squares in only one way, i.e., 118984464 + 49280400 = 10908^2 + 7020^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 19722 + ... + 26934.

Almost surely, 2^168264864 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 168264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248374413).

168264864 is an abundant number, since it is smaller than the sum of its proper divisors (328483962).

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

168264864 is an frugal number, since it uses more digits than its factorization.

168264864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7218 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 168264864 is about 12971.6947235124. The cubic root of 168264864 is about 552.0746590889.

The spelling of 168264864 in words is "one hundred sixty-eight million, two hundred sixty-four thousand, eight hundred sixty-four".