802496961 has 72 divisors (see below), whose sum is σ = 1408492800. Its totient is φ = 438459840.

The previous prime is 802496927. The next prime is 802496971. The reversal of 802496961 is 169694208.

It is a happy number.

802496961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 802496961 - 2⁷ = 802496833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (802496911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1675120 + ... + 1675598.

It is an arithmetic number, because the mean of its divisors is an integer number (19562400).

Almost surely, 2^802496961 is an apocalyptic number.

It is an amenable number.

802496961 is a deficient number, since it is larger than the sum of its proper divisors (605995839).

802496961 is a wasteful number, since it uses less digits than its factorization.

802496961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 802496961 is about 28328.3773096872. The cubic root of 802496961 is about 929.2825858108.

The spelling of 802496961 in words is "eight hundred two million, four hundred ninety-six thousand, nine hundred sixty-one".