65586960 has 120 divisors (see below), whose sum is σ = 223539264. Its totient is φ = 17230080.

The previous prime is 65586953. The next prime is 65586971. The reversal of 65586960 is 6968556.

65586960 is a `hidden beast` number, since 6 + 5 + 586 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50479 + ... + 51761.

Almost surely, 2^65586960 is an apocalyptic number.

65586960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65586960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111769632).

65586960 is an abundant number, since it is smaller than the sum of its proper divisors (157952304).

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

65586960 is a wasteful number, since it uses less digits than its factorization.

65586960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 65586960 is about 8098.5776528968. The cubic root of 65586960 is about 403.2792101559.

The spelling of 65586960 in words is "sixty-five million, five hundred eighty-six thousand, nine hundred sixty".