13623552 has 126 divisors (see below), whose sum is σ = 41330702. Its totient is φ = 4478976.

The previous prime is 13623541. The next prime is 13623559. The reversal of 13623552 is 25532631.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 1679616 = 3456^2 + 1296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13623559) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186588 + ... + 186660.

Almost surely, 2^13623552 is an apocalyptic number.

13623552 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 13623552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665351).

13623552 is an abundant number, since it is smaller than the sum of its proper divisors (27707150).

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

13623552 is an frugal number, since it uses more digits than its factorization.

13623552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 13623552 is about 3691.0096179772. The cubic root of 13623552 is about 238.8343477272.

The spelling of 13623552 in words is "thirteen million, six hundred twenty-three thousand, five hundred fifty-two".