264160800 has 216 divisors, whose sum is σ = 981030960. Its totient is φ = 66700800.

The previous prime is 264160789. The next prime is 264160867. The reversal of 264160800 is 8061462.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135835 + ... + 137765.

It is an arithmetic number, because the mean of its divisors is an integer number (4541810).

Almost surely, 2^264160800 is an apocalyptic number.

264160800 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 264160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490515480).

264160800 is an abundant number, since it is smaller than the sum of its proper divisors (716870160).

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

264160800 is a wasteful number, since it uses less digits than its factorization.

264160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 264160800 is about 16253.0243339509. The cubic root of 264160800 is about 641.6370848978.

The spelling of 264160800 in words is "two hundred sixty-four million, one hundred sixty thousand, eight hundred".