65993920 has 56 divisors (see below), whose sum is σ = 157935168. Its totient is φ = 26265600.

The previous prime is 65993849. The next prime is 65993927. The reversal of 65993920 is 2939956.

It is not an unprimeable number, because it can be changed into a prime (65993927) 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, 86340 + ... + 87100.

Almost surely, 2^65993920 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 65993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78967584).

65993920 is an abundant number, since it is smaller than the sum of its proper divisors (91941248).

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

65993920 is a wasteful number, since it uses less digits than its factorization.

65993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 43.

The square root of 65993920 is about 8123.6641978851. The cubic root of 65993920 is about 404.1115922168. Note that the first 3 decimals are identical.

The spelling of 65993920 in words is "sixty-five million, nine hundred ninety-three thousand, nine hundred twenty".