13645920 has 48 divisors (see below), whose sum is σ = 42986160. Its totient is φ = 3638784.

The previous prime is 13645909. The next prime is 13645937. The reversal of 13645920 is 2954631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13645920² = 372422265292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13735 + ... + 14694.

It is an arithmetic number, because the mean of its divisors is an integer number (895545).

Almost surely, 2^13645920 is an apocalyptic number.

13645920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13645920 is an abundant number, since it is smaller than the sum of its proper divisors (29340240).

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

13645920 is a wasteful number, since it uses less digits than its factorization.

13645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28447 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13645920 is about 3694.0384405147. The cubic root of 13645920 is about 238.9649873140.

It can be divided in two parts, 136 and 45920, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 13645920 in words is "thirteen million, six hundred forty-five thousand, nine hundred twenty".