264112160 has 192 divisors, whose sum is σ = 729025920. Its totient is φ = 89579520.

The previous prime is 264112117. The next prime is 264112169. The reversal of 264112160 is 61211462.

It is not an unprimeable number, because it can be changed into a prime (264112169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620239 + ... + 1620401.

It is an arithmetic number, because the mean of its divisors is an integer number (3797010).

Almost surely, 2^264112160 is an apocalyptic number.

264112160 is a gapful number since it is divisible by the number (20) 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 264112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364512960).

264112160 is an abundant number, since it is smaller than the sum of its proper divisors (464913760).

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

264112160 is a wasteful number, since it uses less digits than its factorization.

264112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 264112160 is about 16251.5279281672. The cubic root of 264112160 is about 641.5977008767.

The spelling of 264112160 in words is "two hundred sixty-four million, one hundred twelve thousand, one hundred sixty".