65135760 has 80 divisors (see below), whose sum is σ = 203606016. Its totient is φ = 17224704.

The previous prime is 65135731. The next prime is 65135761. The reversal of 65135760 is 6753156.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (65135761) 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, 29412 + ... + 31548.

Almost surely, 2^65135760 is an apocalyptic number.

65135760 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 65135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101803008).

65135760 is an abundant number, since it is smaller than the sum of its proper divisors (138470256).

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

65135760 is a wasteful number, since it uses less digits than its factorization.

65135760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 65135760 is about 8070.6728344048. The cubic root of 65135760 is about 402.3523061887.

The spelling of 65135760 in words is "sixty-five million, one hundred thirty-five thousand, seven hundred sixty".