53966080 has 144 divisors (see below), whose sum is σ = 155998080. Its totient is φ = 17473536.

The previous prime is 53966069. The next prime is 53966093. The reversal of 53966080 is 8066935.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170082 + ... + 170398.

It is an arithmetic number, because the mean of its divisors is an integer number (1083320).

Almost surely, 2^53966080 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 53966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77999040).

53966080 is an abundant number, since it is smaller than the sum of its proper divisors (102032000).

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

53966080 is a wasteful number, since it uses less digits than its factorization.

53966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 53966080 is about 7346.1609021311. The cubic root of 53966080 is about 377.8971566843.

It can be divided in two parts, 5396 and 6080, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 53966080 in words is "fifty-three million, nine hundred sixty-six thousand, eighty".