65992000 has 112 divisors (see below), whose sum is σ = 167134032. Its totient is φ = 25804800.

The previous prime is 65991953. The next prime is 65992013. The reversal of 65992000 is 29956.

It can be written as a sum of positive squares in 8 ways, for example, as 40347904 + 25644096 = 6352^2 + 5064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583944 + ... + 584056.

Almost surely, 2^65992000 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 65992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83567016).

65992000 is an abundant number, since it is smaller than the sum of its proper divisors (101142032).

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

65992000 is a wasteful number, since it uses less digits than its factorization.

65992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 65992000 is about 8123.5460237510. The cubic root of 65992000 is about 404.1076731599.

The spelling of 65992000 in words is "sixty-five million, nine hundred ninety-two thousand".