56838420 has 72 divisors (see below), whose sum is σ = 173106024. Its totient is φ = 15095808.

The previous prime is 56838413. The next prime is 56838421. The reversal of 56838420 is 2483865.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 56520324 = 564^2 + 7518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56838421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60192 + ... + 61128.

Almost surely, 2^56838420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56838420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86553012).

56838420 is an abundant number, since it is smaller than the sum of its proper divisors (116267604).

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

56838420 is a wasteful number, since it uses less digits than its factorization.

56838420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 56838420 is about 7539.1259440336. The cubic root of 56838420 is about 384.4861193704.

The spelling of 56838420 in words is "fifty-six million, eight hundred thirty-eight thousand, four hundred twenty".