13652580 has 48 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3612288.

The previous prime is 13652579. The next prime is 13652599. The reversal of 13652580 is 8525631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7522 + ... + 9158.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^13652580 is an apocalyptic number.

13652580 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 13652580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

13652580 is an abundant number, since it is smaller than the sum of its proper divisors (24873180).

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

13652580 is a wasteful number, since it uses less digits than its factorization.

13652580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 13652580 is about 3694.9397830005. The cubic root of 13652580 is about 239.0038572465.

The spelling of 13652580 in words is "thirteen million, six hundred fifty-two thousand, five hundred eighty".