802646496 has 108 divisors (see below), whose sum is σ = 2370814992. Its totient is φ = 267478848.

The previous prime is 802646447. The next prime is 802646497. The reversal of 802646496 is 694646208.

802646496 is a `hidden beast` number, since 80 + 26 + 464 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802646497) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 208041 + ... + 211863.

Almost surely, 2^802646496 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 802646496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185407496).

802646496 is an abundant number, since it is smaller than the sum of its proper divisors (1568168496).

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

802646496 is an frugal number, since it uses more digits than its factorization.

802646496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 802646496 is about 28331.0165013541. The cubic root of 802646496 is about 929.3403021836.

The spelling of 802646496 in words is "eight hundred two million, six hundred forty-six thousand, four hundred ninety-six".