13623960 has 128 divisors (see below), whose sum is σ = 47808000. Its totient is φ = 3104640.

The previous prime is 13623959. The next prime is 13623979. The reversal of 13623960 is 6932631.

It is a happy number.

It is a super-2 number, since 2×13623960² = 371224572163200, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40995 + ... + 41325.

It is an arithmetic number, because the mean of its divisors is an integer number (373500).

Almost surely, 2^13623960 is an apocalyptic number.

13623960 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 13623960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904000).

13623960 is an abundant number, since it is smaller than the sum of its proper divisors (34184040).

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

13623960 is a wasteful number, since it uses less digits than its factorization.

13623960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 13623960 is about 3691.0648869940. The cubic root of 13623960 is about 238.8367319180.

The spelling of 13623960 in words is "thirteen million, six hundred twenty-three thousand, nine hundred sixty".