13552920 has 160 divisors (see below), whose sum is σ = 47044800. Its totient is φ = 3497472.

The previous prime is 13552901. The next prime is 13552933. The reversal of 13552920 is 2925531.

13552920 is a `hidden beast` number, since 135 + 529 + 2 + 0 = 666.

13552920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152236 + ... + 152324.

It is an arithmetic number, because the mean of its divisors is an integer number (294030).

Almost surely, 2^13552920 is an apocalyptic number.

13552920 is a gapful number since it is divisible by the number (10) 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 13552920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522400).

13552920 is an abundant number, since it is smaller than the sum of its proper divisors (33491880).

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

13552920 is a wasteful number, since it uses less digits than its factorization.

13552920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13552920 is about 3681.4290703475. The cubic root of 13552920 is about 238.4208827405.

The spelling of 13552920 in words is "thirteen million, five hundred fifty-two thousand, nine hundred twenty".