53936820 has 192 divisors, whose sum is σ = 202137600. Its totient is φ = 11664000.

The previous prime is 53936791. The next prime is 53936833. The reversal of 53936820 is 2863935.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71445 + ... + 72195.

It is an arithmetic number, because the mean of its divisors is an integer number (1052800).

Almost surely, 2^53936820 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 53936820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101068800).

53936820 is an abundant number, since it is smaller than the sum of its proper divisors (148200780).

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

53936820 is a wasteful number, since it uses less digits than its factorization.

53936820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

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

The square root of 53936820 is about 7344.1691156999. The cubic root of 53936820 is about 377.8288466780.

It can be divided in two parts, 53936 and 820, that added together give a square (54756 = 234²).

The spelling of 53936820 in words is "fifty-three million, nine hundred thirty-six thousand, eight hundred twenty".