13642980 has 48 divisors (see below), whose sum is σ = 41141184. Its totient is φ = 3358080.

The previous prime is 13642961. The next prime is 13642987. The reversal of 13642980 is 8924631.

It is a super-2 number, since 2×13642980² = 372261806560800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7966 + ... + 9525.

It is an arithmetic number, because the mean of its divisors is an integer number (857108).

Almost surely, 2^13642980 is an apocalyptic number.

13642980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13642980 is an abundant number, since it is smaller than the sum of its proper divisors (27498204).

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

13642980 is a wasteful number, since it uses less digits than its factorization.

13642980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17516 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13642980 is about 3693.6404806099. The cubic root of 13642980 is about 238.9478244911.

The spelling of 13642980 in words is "thirteen million, six hundred forty-two thousand, nine hundred eighty".