13977640 has 32 divisors (see below), whose sum is σ = 31610880. Its totient is φ = 5562432.

The previous prime is 13977619. The next prime is 13977643. The reversal of 13977640 is 4677931.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13977640.

It is not an unprimeable number, because it can be changed into a prime (13977643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8137 + ... + 9703.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 2^13977640 is an apocalyptic number.

13977640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13977640 is an abundant number, since it is smaller than the sum of its proper divisors (17633240).

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

13977640 is a wasteful number, since it uses less digits than its factorization.

13977640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 13977640 is about 3738.6682120777. The cubic root of 13977640 is about 240.8858466629.

The spelling of 13977640 in words is "thirteen million, nine hundred seventy-seven thousand, six hundred forty".