53678080 has 52 divisors (see below), whose sum is σ = 128860812. Its totient is φ = 21463040.

The previous prime is 53678077. The next prime is 53678087. The reversal of 53678080 is 8087635.

It can be written as a sum of positive squares in 2 ways, for example, as 32444416 + 21233664 = 5696^2 + 4608^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (53678087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19170 + ... + 21790.

Almost surely, 2^53678080 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 53678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64430406).

53678080 is an abundant number, since it is smaller than the sum of its proper divisors (75182732).

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

53678080 is an equidigital number, since it uses as much as digits as its factorization.

53678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 53678080 is about 7326.5326041723. The cubic root of 53678080 is about 377.2237178493.

The spelling of 53678080 in words is "fifty-three million, six hundred seventy-eight thousand, eighty".