802536 has 64 divisors (see below), whose sum is σ = 2436480. Its totient is φ = 215040.

The previous prime is 802531. The next prime is 802573. The reversal of 802536 is 635208.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802536.

It is not an unprimeable number, because it can be changed into a prime (802531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2716 + ... + 2996.

It is an arithmetic number, because the mean of its divisors is an integer number (38070).

2⁸⁰²⁵³⁶ 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 802536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218240).

802536 is an abundant number, since it is smaller than the sum of its proper divisors (1633944).

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

802536 is a wasteful number, since it uses less digits than its factorization.

802536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 802536 is about 895.8437363737. The cubic root of 802536 is about 92.9297654476.

The spelling of 802536 in words is "eight hundred two thousand, five hundred thirty-six".