264050160 has 80 divisors (see below), whose sum is σ = 892978560. Its totient is φ = 64011520.

The previous prime is 264050147. The next prime is 264050161. The reversal of 264050160 is 61050462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 264050160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264050161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47370 + ... + 52649.

It is an arithmetic number, because the mean of its divisors is an integer number (11162232).

Almost surely, 2^264050160 is an apocalyptic number.

264050160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264050160 is an abundant number, since it is smaller than the sum of its proper divisors (628928400).

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

264050160 is a wasteful number, since it uses less digits than its factorization.

264050160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100046 (or 100040 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 264050160 is about 16249.6203032563. The cubic root of 264050160 is about 641.5474921945.

The spelling of 264050160 in words is "two hundred sixty-four million, fifty thousand, one hundred sixty".