264153960 has 320 divisors, whose sum is σ = 1069833600. Its totient is φ = 57106944.

The previous prime is 264153949. The next prime is 264153977. The reversal of 264153960 is 69351462.

It is a happy number.

264153960 is a `hidden beast` number, since 2 + 64 + 1 + 539 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430614 + ... + 431226.

It is an arithmetic number, because the mean of its divisors is an integer number (3343230).

Almost surely, 2^264153960 is an apocalyptic number.

264153960 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 264153960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534916800).

264153960 is an abundant number, since it is smaller than the sum of its proper divisors (805679640).

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

264153960 is a wasteful number, since it uses less digits than its factorization.

264153960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 264153960 is about 16252.8139102126. The cubic root of 264153960 is about 641.6315468119.

The spelling of 264153960 in words is "two hundred sixty-four million, one hundred fifty-three thousand, nine hundred sixty".