802191936 has 224 divisors, whose sum is σ = 2668422400. Its totient is φ = 211341312.

The previous prime is 802191919. The next prime is 802191959. The reversal of 802191936 is 639191208.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 802191894 and 802191903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855660 + ... + 856596.

It is an arithmetic number, because the mean of its divisors is an integer number (11912600).

Almost surely, 2^802191936 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 802191936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334211200).

802191936 is an abundant number, since it is smaller than the sum of its proper divisors (1866230464).

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

802191936 is a wasteful number, since it uses less digits than its factorization.

802191936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 802191936 is about 28322.9930621748. The cubic root of 802191936 is about 929.1648323674.

The spelling of 802191936 in words is "eight hundred two million, one hundred ninety-one thousand, nine hundred thirty-six".