53960580 has 84 divisors (see below), whose sum is σ = 169944012. Its totient is φ = 14385600.

The previous prime is 53960579. The next prime is 53960581. The reversal of 53960580 is 8506935.

It is an interprime number because it is at equal distance from previous prime (53960579) and next prime (53960581).

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 33385284 = 4536^2 + 5778^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53960581) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12730 + ... + 16430.

It is an arithmetic number, because the mean of its divisors is an integer number (2023143).

Almost surely, 2^53960580 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 53960580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84972006).

53960580 is an abundant number, since it is smaller than the sum of its proper divisors (115983432).

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

53960580 is a wasteful number, since it uses less digits than its factorization.

53960580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 53960580 is about 7345.7865474025. The cubic root of 53960580 is about 377.8843183423.

The spelling of 53960580 in words is "fifty-three million, nine hundred sixty thousand, five hundred eighty".