13357008 has 120 divisors (see below), whose sum is σ = 44669760. Its totient is φ = 3810240.

The previous prime is 13356989. The next prime is 13357009. The reversal of 13357008 is 80075331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13357009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20853 + ... + 21483.

It is an arithmetic number, because the mean of its divisors is an integer number (372248).

Almost surely, 2^13357008 is an apocalyptic number.

13357008 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 13357008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334880).

13357008 is an abundant number, since it is smaller than the sum of its proper divisors (31312752).

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

13357008 is a wasteful number, since it uses less digits than its factorization.

13357008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13357008 is about 3654.7240661916. The cubic root of 13357008 is about 237.2664844200.

The spelling of 13357008 in words is "thirteen million, three hundred fifty-seven thousand, eight".