13627980 has 48 divisors (see below), whose sum is σ = 42399840. Its totient is φ = 3633984.

The previous prime is 13627973. The next prime is 13627981. The reversal of 13627980 is 8972631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13627981) 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, 12079 + ... + 13158.

It is an arithmetic number, because the mean of its divisors is an integer number (883330).

Almost surely, 2^13627980 is an apocalyptic number.

13627980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13627980 is an abundant number, since it is smaller than the sum of its proper divisors (28771860).

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

13627980 is a wasteful number, since it uses less digits than its factorization.

13627980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25255 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13627980 is about 3691.6094051240. The cubic root of 13627980 is about 238.8602206649.

The spelling of 13627980 in words is "thirteen million, six hundred twenty-seven thousand, nine hundred eighty".