13997620 has 48 divisors (see below), whose sum is σ = 36183168. Its totient is φ = 4429440.

The previous prime is 13997617. The next prime is 13997629. The reversal of 13997620 is 2679931.

13997620 = 959² + 960² + ... + 973².

13997620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13997620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13997629) 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, 2026 + ... + 5665.

It is an arithmetic number, because the mean of its divisors is an integer number (753816).

Almost surely, 2^13997620 is an apocalyptic number.

13997620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13997620 is an abundant number, since it is smaller than the sum of its proper divisors (22185548).

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

13997620 is a wasteful number, since it uses less digits than its factorization.

13997620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7720 (or 7718 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 13997620 is about 3741.3393323782. The cubic root of 13997620 is about 241.0005681707. Note that the first 3 decimals are identical.

The spelling of 13997620 in words is "thirteen million, nine hundred ninety-seven thousand, six hundred twenty".