65951680 has 56 divisors (see below), whose sum is σ = 160733232. Its totient is φ = 25761792.

The previous prime is 65951629. The next prime is 65951689. The reversal of 65951680 is 8615956.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65951689) 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, 11364 + ... + 16156.

Almost surely, 2^65951680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80366616).

65951680 is an abundant number, since it is smaller than the sum of its proper divisors (94781552).

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

65951680 is a wasteful number, since it uses less digits than its factorization.

65951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 65951680 is about 8121.0639697025. The cubic root of 65951680 is about 404.0253553998.

The spelling of 65951680 in words is "sixty-five million, nine hundred fifty-one thousand, six hundred eighty".