65976720 has 80 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 17216512.

The previous prime is 65976707. The next prime is 65976727. The reversal of 65976720 is 2767956.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (65976727) 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, 8356 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2^65976720 is an apocalyptic number.

65976720 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 65976720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

65976720 is an abundant number, since it is smaller than the sum of its proper divisors (142938480).

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

65976720 is a wasteful number, since it uses less digits than its factorization.

65976720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 65976720 is about 8122.6054933131. The cubic root of 65976720 is about 404.0764812888.

The spelling of 65976720 in words is "sixty-five million, nine hundred seventy-six thousand, seven hundred twenty".