53820936 has 80 divisors (see below), whose sum is σ = 162369900. Its totient is φ = 16557696.

The previous prime is 53820859. The next prime is 53820937. The reversal of 53820936 is 63902835.

It can be written as a sum of positive squares in 2 ways, for example, as 38564100 + 15256836 = 6210^2 + 3906^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 53820936.

It is not an unprimeable number, because it can be changed into a prime (53820937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5230 + ... + 11618.

Almost surely, 2^53820936 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 53820936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81184950).

53820936 is an abundant number, since it is smaller than the sum of its proper divisors (108548964).

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

53820936 is a wasteful number, since it uses less digits than its factorization.

53820936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 53820936 is about 7336.2753492491. The cubic root of 53820936 is about 377.5580624987.

It can be divided in two parts, 53820 and 936, that added together give a square (54756 = 234²).

The spelling of 53820936 in words is "fifty-three million, eight hundred twenty thousand, nine hundred thirty-six".