13607952 has 80 divisors (see below), whose sum is σ = 37973760. Its totient is φ = 4185216.

The previous prime is 13607929. The next prime is 13607953. The reversal of 13607952 is 25970631.

It is not an unprimeable number, because it can be changed into a prime (13607953) 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, 39043 + ... + 39389.

It is an arithmetic number, because the mean of its divisors is an integer number (474672).

Almost surely, 2^13607952 is an apocalyptic number.

13607952 is a gapful number since it is divisible by the number (12) 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 13607952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986880).

13607952 is an abundant number, since it is smaller than the sum of its proper divisors (24365808).

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

13607952 is a wasteful number, since it uses less digits than its factorization.

13607952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 13607952 is about 3688.8957697392. The cubic root of 13607952 is about 238.7431517640.

The spelling of 13607952 in words is "thirteen million, six hundred seven thousand, nine hundred fifty-two".