53086320 has 160 divisors (see below), whose sum is σ = 209034240. Its totient is φ = 12130560.

The previous prime is 53086301. The next prime is 53086321. The reversal of 53086320 is 2368035.

It is a super-2 number, since 2×53086320² = 5636314742284800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53086321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13365 + ... + 16875.

It is an arithmetic number, because the mean of its divisors is an integer number (1306464).

Almost surely, 2^53086320 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 53086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104517120).

53086320 is an abundant number, since it is smaller than the sum of its proper divisors (155947920).

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

53086320 is a wasteful number, since it uses less digits than its factorization.

53086320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53086320 is about 7286.0359592854. The cubic root of 53086320 is about 375.8323909670.

It can be divided in two parts, 5308 and 6320, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 53086320 in words is "fifty-three million, eighty-six thousand, three hundred twenty".