13612968 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 4121280.

The previous prime is 13612961. The next prime is 13612979. The reversal of 13612968 is 86921631.

13612968 is a `hidden beast` number, since 1 + 361 + 296 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (13612961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127171 + ... + 127277.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^13612968 is an apocalyptic number.

13612968 is a gapful number since it is divisible by the number (18) 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 13612968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

13612968 is an abundant number, since it is smaller than the sum of its proper divisors (27859032).

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

13612968 is a wasteful number, since it uses less digits than its factorization.

13612968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13612968 is about 3689.5755853485. The cubic root of 13612968 is about 238.7724823725.

The spelling of 13612968 in words is "thirteen million, six hundred twelve thousand, nine hundred sixty-eight".