962496 has 56 divisors (see below), whose sum is σ = 2834640. Its totient is φ = 320256.

The previous prime is 962477. The next prime is 962497. The reversal of 962496 is 694269.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 962496.

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 962496.

It is not an unprimeable number, because it can be changed into a prime (962497) by changing a digit.

962496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1450 + ... + 2006.

2⁹⁶²⁴⁹⁶ is an apocalyptic number.

962496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417320).

962496 is an abundant number, since it is smaller than the sum of its proper divisors (1872144).

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

962496 is a wasteful number, since it uses less digits than its factorization.

962496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 962496 is about 981.0688049265. The cubic root of 962496 is about 98.7339043360.

The spelling of 962496 in words is "nine hundred sixty-two thousand, four hundred ninety-six".