53637920 has 96 divisors (see below), whose sum is σ = 146821248. Its totient is φ = 18137088.

The previous prime is 53637889. The next prime is 53637929. The reversal of 53637920 is 2973635.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53637929) 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 15 ways as a sum of consecutive naturals, for example, 92672 + ... + 93248.

It is an arithmetic number, because the mean of its divisors is an integer number (1529388).

Almost surely, 2^53637920 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 53637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73410624).

53637920 is an abundant number, since it is smaller than the sum of its proper divisors (93183328).

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

53637920 is a wasteful number, since it uses less digits than its factorization.

53637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 53637920 is about 7323.7913678641. The cubic root of 53637920 is about 377.1296193263.

The spelling of 53637920 in words is "fifty-three million, six hundred thirty-seven thousand, nine hundred twenty".