13758820 has 24 divisors (see below), whose sum is σ = 29676024. Its totient is φ = 5354496.

The previous prime is 13758817. The next prime is 13758893. The reversal of 13758820 is 2885731.

13758820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 9498724 = 2064^2 + 3082^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8557 + ... + 10036.

It is an arithmetic number, because the mean of its divisors is an integer number (1236501).

Almost surely, 2^13758820 is an apocalyptic number.

13758820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13758820 is an abundant number, since it is smaller than the sum of its proper divisors (15917204).

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

13758820 is a wasteful number, since it uses less digits than its factorization.

13758820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639 (or 18637 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 13758820 is about 3709.2883414477. The cubic root of 13758820 is about 239.6222065384.

The spelling of 13758820 in words is "thirteen million, seven hundred fifty-eight thousand, eight hundred twenty".