65065680 has 120 divisors (see below), whose sum is σ = 226672992. Its totient is φ = 17345664.

The previous prime is 65065669. The next prime is 65065687. The reversal of 65065680 is 8656056.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65065687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17767 + ... + 21113.

Almost surely, 2^65065680 is an apocalyptic number.

65065680 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 65065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113336496).

65065680 is an abundant number, since it is smaller than the sum of its proper divisors (161607312).

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

65065680 is a wasteful number, since it uses less digits than its factorization.

65065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 65065680 is about 8066.3300205236. The cubic root of 65065680 is about 402.2079565613.

The spelling of 65065680 in words is "sixty-five million, sixty-five thousand, six hundred eighty".