65768160 has 96 divisors (see below), whose sum is σ = 208589472. Its totient is φ = 17418240.

The previous prime is 65768159. The next prime is 65768161. The reversal of 65768160 is 6186756.

It is an interprime number because it is at equal distance from previous prime (65768159) and next prime (65768161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65768161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86502 + ... + 87258.

It is an arithmetic number, because the mean of its divisors is an integer number (2172807).

Almost surely, 2^65768160 is an apocalyptic number.

65768160 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 65768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104294736).

65768160 is an abundant number, since it is smaller than the sum of its proper divisors (142821312).

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

65768160 is a wasteful number, since it uses less digits than its factorization.

65768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 65768160 is about 8109.7570863744. The cubic root of 65768160 is about 403.6502544452.

The spelling of 65768160 in words is "sixty-five million, seven hundred sixty-eight thousand, one hundred sixty".