962592 has 48 divisors (see below), whose sum is σ = 2604672. Its totient is φ = 311040.

The previous prime is 962587. The next prime is 962603. The reversal of 962592 is 295269.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3417 + ... + 3687.

It is an arithmetic number, because the mean of its divisors is an integer number (54264).

2⁹⁶²⁵⁹² 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 962592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302336).

962592 is an abundant number, since it is smaller than the sum of its proper divisors (1642080).

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

962592 is a wasteful number, since it uses less digits than its factorization.

962592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 962592 is about 981.1177299387. The cubic root of 962592 is about 98.7371868223.

It can be divided in two parts, 96 and 2592, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 962592 in words is "nine hundred sixty-two thousand, five hundred ninety-two".