902496 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 239616.

The previous prime is 902483. The next prime is 902501. The reversal of 902496 is 694209.

902496 is a nontrivial binomial coefficient, being equal to C(1344, 2).

It is a tau number, because it is divible by the number of its divisors (96).

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 902496.

It is an unprimeable number.

902496 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 15 ways as a sum of consecutive naturals, for example, 11385 + ... + 11463.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁹⁰²⁴⁹⁶ is an apocalyptic number.

902496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

902496 is the 1343-rd triangular number and also the 672-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

902496 is an abundant number, since it is smaller than the sum of its proper divisors (2000544).

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

902496 is a wasteful number, since it uses less digits than its factorization.

902496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

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

The square root of 902496 is about 949.9978947345. The cubic root of 902496 is about 96.6381102067.

The spelling of 902496 in words is "nine hundred two thousand, four hundred ninety-six".