13458920 has 32 divisors (see below), whose sum is σ = 30931200. Its totient is φ = 5268288.

The previous prime is 13458919. The next prime is 13458923. The reversal of 13458920 is 2985431.

It is a super-2 number, since 2×13458920² = 362285055132800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13458923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1700 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (966600).

Almost surely, 2^13458920 is an apocalyptic number.

13458920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13458920 is an abundant number, since it is smaller than the sum of its proper divisors (17472280).

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

13458920 is a wasteful number, since it uses less digits than its factorization.

13458920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 13458920 is about 3668.6400750142. The cubic root of 13458920 is about 237.8683922709.

The spelling of 13458920 in words is "thirteen million, four hundred fifty-eight thousand, nine hundred twenty".