820002264 has 16 divisors (see below), whose sum is σ = 2050005720. Its totient is φ = 273334080.

The previous prime is 820002221. The next prime is 820002277. The reversal of 820002264 is 462200028.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 34166761 = 820002264 / (8 + 2 + 0 + 0 + 0 + 2 + 2 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17083357 + ... + 17083404.

Almost surely, 2^820002264 is an apocalyptic number.

It is an amenable number.

820002264 is an abundant number, since it is smaller than the sum of its proper divisors (1230003456).

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

820002264 is a wasteful number, since it uses less digits than its factorization.

820002264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34166770 (or 34166766 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 820002264 is about 28635.6816576802. The cubic root of 820002264 is about 935.9910237287.

The spelling of 820002264 in words is "eight hundred twenty million, two thousand, two hundred sixty-four".