64992 has 24 divisors (see below), whose sum is σ = 170856. Its totient is φ = 21632.

The previous prime is 64969. The next prime is 64997. The reversal of 64992 is 29946.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64992.

It is not an unprimeable number, because it can be changed into a prime (64997) by changing a digit.

64992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (7119).

2⁶⁴⁹⁹² is an apocalyptic number.

It is an amenable number.

64992 is an abundant number, since it is smaller than the sum of its proper divisors (105864).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85428).

64992 is a wasteful number, since it uses less digits than its factorization.

64992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 64992 is about 254.9352859061. The cubic root of 64992 is about 40.2056079897.

It can be divided in two parts, 649 and 92, that added together give a triangular number (741 = T₃₈).

The spelling of 64992 in words is "sixty-four thousand, nine hundred ninety-two".