964992 has 64 divisors (see below), whose sum is σ = 2937600. Its totient is φ = 274944.

The previous prime is 964981. The next prime is 965023. The reversal of 964992 is 299469.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 964992.

It is a congruent number.

It is an unprimeable number.

964992 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 7 ways as a sum of consecutive naturals, for example, 2509 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2⁹⁶⁴⁹⁹² 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 964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800).

964992 is an abundant number, since it is smaller than the sum of its proper divisors (1972608).

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

964992 is a wasteful number, since it uses less digits than its factorization.

964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 964992 is about 982.3400633182. The cubic root of 964992 is about 98.8191781464.

The spelling of 964992 in words is "nine hundred sixty-four thousand, nine hundred ninety-two".