53088000 has 288 divisors, whose sum is σ = 204072960. Its totient is φ = 11980800.

The previous prime is 53087987. The next prime is 53088001. The reversal of 53088000 is 88035.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53088001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671961 + ... + 672039.

Almost surely, 2^53088000 is an apocalyptic number.

53088000 is a gapful number since it is divisible by the number (50) 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 53088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102036480).

53088000 is an abundant number, since it is smaller than the sum of its proper divisors (150984960).

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

53088000 is an equidigital number, since it uses as much as digits as its factorization.

53088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 53088000 is about 7286.1512474008. The cubic root of 53088000 is about 375.8363555273.

The spelling of 53088000 in words is "fifty-three million, eighty-eight thousand".