53881416 has 96 divisors (see below), whose sum is σ = 158191200. Its totient is φ = 16990560.

The previous prime is 53881393. The next prime is 53881493. The reversal of 53881416 is 61418835.

53881416 is a `hidden beast` number, since 538 + 81 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77631 + ... + 78321.

It is an arithmetic number, because the mean of its divisors is an integer number (1647825).

Almost surely, 2^53881416 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 53881416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79095600).

53881416 is an abundant number, since it is smaller than the sum of its proper divisors (104309784).

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

53881416 is a wasteful number, since it uses less digits than its factorization.

53881416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 715 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 53881416 is about 7340.3961745944. The cubic root of 53881416 is about 377.6994335297.

The spelling of 53881416 in words is "fifty-three million, eight hundred eighty-one thousand, four hundred sixteen".