13621608 has 288 divisors, whose sum is σ = 52284960. Its totient is φ = 3265920.

The previous prime is 13621603. The next prime is 13621627. The reversal of 13621608 is 80612631.

13621608 is a `hidden beast` number, since 1 + 36 + 21 + 608 = 666.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (13621603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047810 + ... + 1047822.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 2^13621608 is an apocalyptic number.

13621608 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 13621608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

13621608 is an abundant number, since it is smaller than the sum of its proper divisors (38663352).

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

13621608 is a wasteful number, since it uses less digits than its factorization.

13621608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13621608 is about 3690.7462660010. The cubic root of 13621608 is about 238.8229871056.

The spelling of 13621608 in words is "thirteen million, six hundred twenty-one thousand, six hundred eight".