65959680 has 144 divisors (see below), whose sum is σ = 214129440. Its totient is φ = 17301504.

The previous prime is 65959667. The next prime is 65959687. The reversal of 65959680 is 8695956.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65959687) 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, 341664 + ... + 341856.

It is an arithmetic number, because the mean of its divisors is an integer number (1487010).

Almost surely, 2^65959680 is an apocalyptic number.

65959680 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 65959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107064720).

65959680 is an abundant number, since it is smaller than the sum of its proper divisors (148169760).

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

65959680 is a wasteful number, since it uses less digits than its factorization.

65959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 65959680 is about 8121.5565010655. The cubic root of 65959680 is about 404.0416909562.

The spelling of 65959680 in words is "sixty-five million, nine hundred fifty-nine thousand, six hundred eighty".