65268960 has 48 divisors (see below), whose sum is σ = 205598736. Its totient is φ = 17404928.

The previous prime is 65268953. The next prime is 65268961. The reversal of 65268960 is 6986256.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) 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 (65268961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67509 + ... + 68468.

It is an arithmetic number, because the mean of its divisors is an integer number (4283307).

Almost surely, 2^65268960 is an apocalyptic number.

65268960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65268960 is an abundant number, since it is smaller than the sum of its proper divisors (140329776).

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

65268960 is a wasteful number, since it uses less digits than its factorization.

65268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135995 (or 135987 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 65268960 is about 8078.9207199972. The cubic root of 65268960 is about 402.6263841891.

The spelling of 65268960 in words is "sixty-five million, two hundred sixty-eight thousand, nine hundred sixty".