53680128 has 48 divisors (see below), whose sum is σ = 143128440. Its totient is φ = 17891328.

The previous prime is 53680103. The next prime is 53680129. The reversal of 53680128 is 82108635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×53680128² = 5763112284192768, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53680129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1776 + ... + 10512.

Almost surely, 2^53680128 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 53680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71564220).

53680128 is an abundant number, since it is smaller than the sum of its proper divisors (89448312).

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

53680128 is an equidigital number, since it uses as much as digits as its factorization.

53680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 53680128 is about 7326.6723688179. The cubic root of 53680128 is about 377.2285152412.

The spelling of 53680128 in words is "fifty-three million, six hundred eighty thousand, one hundred twenty-eight".