819624964 has 24 divisors (see below), whose sum is σ = 1575483840. Its totient is φ = 371362464.

The previous prime is 819624959. The next prime is 819624997. The reversal of 819624964 is 469426918.

It is a super-2 number, since 2×819624964² = 1343570163224002592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232699 + ... + 236194.

It is an arithmetic number, because the mean of its divisors is an integer number (65645160).

Almost surely, 2^819624964 is an apocalyptic number.

It is an amenable number.

819624964 is a deficient number, since it is larger than the sum of its proper divisors (755858876).

819624964 is a wasteful number, since it uses less digits than its factorization.

819624964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468939 (or 468937 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 819624964 is about 28629.0929650242. The cubic root of 819624964 is about 935.8474454296.

The spelling of 819624964 in words is "eight hundred nineteen million, six hundred twenty-four thousand, nine hundred sixty-four".