802662432 has 192 divisors, whose sum is σ = 2519838720. Its totient is φ = 220492800.

The previous prime is 802662407. The next prime is 802662433. The reversal of 802662432 is 234266208.

802662432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 802662393 and 802662402.

It is not an unprimeable number, because it can be changed into a prime (802662433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809457 + ... + 810447.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^802662432 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 802662432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259919360).

802662432 is an abundant number, since it is smaller than the sum of its proper divisors (1717176288).

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

802662432 is a wasteful number, since it uses less digits than its factorization.

802662432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 802662432 is about 28331.2977464852. The cubic root of 802662432 is about 929.3464526160.

The spelling of 802662432 in words is "eight hundred two million, six hundred sixty-two thousand, four hundred thirty-two".