13457960 has 32 divisors (see below), whose sum is σ = 30385800. Its totient is φ = 5364480.

The previous prime is 13457923. The next prime is 13457971. The reversal of 13457960 is 6975431.

It can be written as a sum of positive squares in 4 ways, for example, as 13205956 + 252004 = 3634^2 + 502^2 .

It is a super-2 number, since 2×13457960² = 362233374723200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13457960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20030 + ... + 20690.

Almost surely, 2^13457960 is an apocalyptic number.

13457960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13457960 is an abundant number, since it is smaller than the sum of its proper divisors (16927840).

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

13457960 is a wasteful number, since it uses less digits than its factorization.

13457960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 13457960 is about 3668.5092340077. The cubic root of 13457960 is about 237.8627365648.

The spelling of 13457960 in words is "thirteen million, four hundred fifty-seven thousand, nine hundred sixty".