53553864 has 192 divisors, whose sum is σ = 174666240. Its totient is φ = 13547520.

The previous prime is 53553847. The next prime is 53553869. The reversal of 53553864 is 46835535.

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

Its product of digits (216000) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53553869) 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 47 ways as a sum of consecutive naturals, for example, 473872 + ... + 473984.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 2^53553864 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 53553864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

53553864 is an abundant number, since it is smaller than the sum of its proper divisors (121112376).

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

53553864 is a wasteful number, since it uses less digits than its factorization.

53553864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 53553864 is about 7318.0505600877. The cubic root of 53553864 is about 376.9325163518.

The spelling of 53553864 in words is "fifty-three million, five hundred fifty-three thousand, eight hundred sixty-four".