802093632 has 112 divisors (see below), whose sum is σ = 2178832320. Its totient is φ = 260333568.

The previous prime is 802093601. The next prime is 802093637. The reversal of 802093632 is 236390208.

It is a junction number, because it is equal to n+sod(n) for n = 802093593 and 802093602.

It is not an unprimeable number, because it can be changed into a prime (802093637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247103 + ... + 1247745.

It is an arithmetic number, because the mean of its divisors is an integer number (19453860).

Almost surely, 2^802093632 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 802093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089416160).

802093632 is an abundant number, since it is smaller than the sum of its proper divisors (1376738688).

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

802093632 is a wasteful number, since it uses less digits than its factorization.

802093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 802093632 is about 28321.2575991957. The cubic root of 802093632 is about 929.1268762179.

The spelling of 802093632 in words is "eight hundred two million, ninety-three thousand, six hundred thirty-two".