13642820 has 12 divisors (see below), whose sum is σ = 28649964. Its totient is φ = 5457120.

The previous prime is 13642807. The next prime is 13642859. The reversal of 13642820 is 2824631.

It can be written as a sum of positive squares in 2 ways, for example, as 9634816 + 4008004 = 3104^2 + 2002^2 .

It is a super-2 number, since 2×13642820² = 372253075104800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13642820.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 341051 + ... + 341090.

It is an arithmetic number, because the mean of its divisors is an integer number (2387497).

Almost surely, 2^13642820 is an apocalyptic number.

13642820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13642820 is an abundant number, since it is smaller than the sum of its proper divisors (15007144).

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

13642820 is a wasteful number, since it uses less digits than its factorization.

13642820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682150 (or 682148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13642820 is about 3693.6188216978. The cubic root of 13642820 is about 238.9468903892.

The spelling of 13642820 in words is "thirteen million, six hundred forty-two thousand, eight hundred twenty".