53782560 has 288 divisors, whose sum is σ = 210515760. Its totient is φ = 12460032.

The previous prime is 53782549. The next prime is 53782607. The reversal of 53782560 is 6528735.

It can be written as a sum of positive squares in 8 ways, for example, as 725904 + 53056656 = 852^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 3163672 + ... + 3163688.

Almost surely, 2^53782560 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 53782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105257880).

53782560 is an abundant number, since it is smaller than the sum of its proper divisors (156733200).

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

53782560 is a wasteful number, since it uses less digits than its factorization.

53782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53782560 is about 7333.6593866909. The cubic root of 53782560 is about 377.4683042844.

The spelling of 53782560 in words is "fifty-three million, seven hundred eighty-two thousand, five hundred sixty".