53880840 has 192 divisors, whose sum is σ = 195577200. Its totient is φ = 12773376.

The previous prime is 53880839. The next prime is 53880851. The reversal of 53880840 is 4808835.

53880840 is a `hidden beast` number, since 538 + 80 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18096516 + 35784324 = 4254^2 + 5982^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53880795 and 53880804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135522 + ... + 135918.

Almost surely, 2^53880840 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 53880840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97788600).

53880840 is an abundant number, since it is smaller than the sum of its proper divisors (141696360).

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

53880840 is a wasteful number, since it uses less digits than its factorization.

53880840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 53880840 is about 7340.3569395500. The cubic root of 53880840 is about 377.6980876380.

The spelling of 53880840 in words is "fifty-three million, eight hundred eighty thousand, eight hundred forty".