338520960 has 96 divisors (see below), whose sum is σ = 1168975080. Its totient is φ = 90270720.

The previous prime is 338520953. The next prime is 338520977. The reversal of 338520960 is 69025833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338520960² = 229192880718643200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23626 + ... + 35145.

Almost surely, 2^338520960 is an apocalyptic number.

338520960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338520960 is an abundant number, since it is smaller than the sum of its proper divisors (830454120).

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

338520960 is a wasteful number, since it uses less digits than its factorization.

338520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58796 (or 58781 counting only the distinct ones).

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

The square root of 338520960 is about 18398.9390998503. The cubic root of 338520960 is about 696.9396740904.

The spelling of 338520960 in words is "three hundred thirty-eight million, five hundred twenty thousand, nine hundred sixty".