13238820 has 216 divisors, whose sum is σ = 49795200. Its totient is φ = 2830464.

The previous prime is 13238809. The next prime is 13238831. The reversal of 13238820 is 2883231.

It is an interprime number because it is at equal distance from previous prime (13238809) and next prime (13238831).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167541 + ... + 167619.

Almost surely, 2^13238820 is an apocalyptic number.

13238820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13238820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897600).

13238820 is an abundant number, since it is smaller than the sum of its proper divisors (36556380).

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

13238820 is a wasteful number, since it uses less digits than its factorization.

13238820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13238820 is about 3638.5189294547. The cubic root of 13238820 is about 236.5646014523.

The spelling of 13238820 in words is "thirteen million, two hundred thirty-eight thousand, eight hundred twenty".