53863680 has 216 divisors, whose sum is σ = 188522208. Its totient is φ = 13099008.

The previous prime is 53863657. The next prime is 53863687. The reversal of 53863680 is 8636835.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53863687) 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, 648919 + ... + 649001.

It is an arithmetic number, because the mean of its divisors is an integer number (872788).

Almost surely, 2^53863680 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 53863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94261104).

53863680 is an abundant number, since it is smaller than the sum of its proper divisors (134658528).

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

53863680 is a wasteful number, since it uses less digits than its factorization.

53863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 53863680 is about 7339.1879659810. The cubic root of 53863680 is about 377.6579868813.

The spelling of 53863680 in words is "fifty-three million, eight hundred sixty-three thousand, six hundred eighty".