264171072 has 168 divisors, whose sum is σ = 783201888. Its totient is φ = 78510080.

The previous prime is 264170987. The next prime is 264171097. The reversal of 264171072 is 270171462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928188 + ... + 1928324.

It is an arithmetic number, because the mean of its divisors is an integer number (4661916).

Almost surely, 2^264171072 is an apocalyptic number.

264171072 is a gapful number since it is divisible by the number (22) 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 264171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391600944).

264171072 is an abundant number, since it is smaller than the sum of its proper divisors (519030816).

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

264171072 is a wasteful number, since it uses less digits than its factorization.

264171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 264171072 is about 16253.3403336053. The cubic root of 264171072 is about 641.6454015628.

The spelling of 264171072 in words is "two hundred sixty-four million, one hundred seventy-one thousand, seventy-two".