53994880 has 64 divisors (see below), whose sum is σ = 129988800. Its totient is φ = 21446656.

The previous prime is 53994859. The next prime is 53994923. The reversal of 53994880 is 8849935.

53994880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 53994880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152784 + ... + 153136.

It is an arithmetic number, because the mean of its divisors is an integer number (2031075).

Almost surely, 2^53994880 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 53994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64994400).

53994880 is an abundant number, since it is smaller than the sum of its proper divisors (75993920).

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

53994880 is a wasteful number, since it uses less digits than its factorization.

53994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 53994880 is about 7348.1208482169. The cubic root of 53994880 is about 377.9643686728.

The spelling of 53994880 in words is "fifty-three million, nine hundred ninety-four thousand, eight hundred eighty".