14535920 has 80 divisors (see below), whose sum is σ = 39158208. Its totient is φ = 4915200.

The previous prime is 14535887. The next prime is 14535923. The reversal of 14535920 is 2953541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14535920² = 422585940492800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14535923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56432 + ... + 56688.

Almost surely, 2^14535920 is an apocalyptic number.

14535920 is a gapful number since it is divisible by the number (10) 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 14535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19579104).

14535920 is an abundant number, since it is smaller than the sum of its proper divisors (24622288).

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

14535920 is a wasteful number, since it uses less digits than its factorization.

14535920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 14535920 is about 3812.6001626187. The cubic root of 14535920 is about 244.0511404049.

The spelling of 14535920 in words is "fourteen million, five hundred thirty-five thousand, nine hundred twenty".