53068800 has 132 divisors (see below), whose sum is σ = 175648976. Its totient is φ = 14131200.

The previous prime is 53068783. The next prime is 53068823. The reversal of 53068800 is 886035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76455 + ... + 77145.

Almost surely, 2^53068800 is an apocalyptic number.

53068800 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 53068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87824488).

53068800 is an abundant number, since it is smaller than the sum of its proper divisors (122580176).

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

53068800 is a wasteful number, since it uses less digits than its factorization.

53068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 53068800 is about 7284.8335602126. The cubic root of 53068800 is about 375.7910412810.

The spelling of 53068800 in words is "fifty-three million, sixty-eight thousand, eight hundred".