53807936 has 56 divisors (see below), whose sum is σ = 131429760. Its totient is φ = 21284352.

The previous prime is 53807933. The next prime is 53807951. The reversal of 53807936 is 63970835.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 53807893 and 53807902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53807933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205 + ... + 10443.

It is an arithmetic number, because the mean of its divisors is an integer number (2346960).

Almost surely, 2^53807936 is an apocalyptic number.

53807936 is a gapful number since it is divisible by the number (56) 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 53807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65714880).

53807936 is an abundant number, since it is smaller than the sum of its proper divisors (77621824).

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

53807936 is a wasteful number, since it uses less digits than its factorization.

53807936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 53807936 is about 7335.3892875566. The cubic root of 53807936 is about 377.5276613796.

The spelling of 53807936 in words is "fifty-three million, eight hundred seven thousand, nine hundred thirty-six".