813649884 has 48 divisors (see below), whose sum is σ = 1946112000. Its totient is φ = 264491136.

The previous prime is 813649873. The next prime is 813649931. The reversal of 813649884 is 488946318.

It is a super-2 number, since 2×813649884² = 1324052267466426912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85392 + ... + 94440.

It is an arithmetic number, because the mean of its divisors is an integer number (40544000).

Almost surely, 2^813649884 is an apocalyptic number.

It is an amenable number.

813649884 is an abundant number, since it is smaller than the sum of its proper divisors (1132462116).

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

813649884 is a wasteful number, since it uses less digits than its factorization.

813649884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9240 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 813649884 is about 28524.5487957303. The cubic root of 813649884 is about 933.5677822024.

The spelling of 813649884 in words is "eight hundred thirteen million, six hundred forty-nine thousand, eight hundred eighty-four".