1009364820 has 48 divisors (see below), whose sum is σ = 2827681920. Its totient is φ = 269024896.

The previous prime is 1009364819. The next prime is 1009364827. The reversal of 1009364820 is 284639001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009364827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171649 + ... + 177431.

It is an arithmetic number, because the mean of its divisors is an integer number (58910040).

Almost surely, 2^1009364820 is an apocalyptic number.

1009364820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009364820 is an abundant number, since it is smaller than the sum of its proper divisors (1818317100).

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

1009364820 is a wasteful number, since it uses less digits than its factorization.

1009364820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1009364820 is about 31770.5023567460. The cubic root of 1009364820 is about 1003.1119126213. Note that the first 3 decimals are identical.

The spelling of 1009364820 in words is "one billion, nine million, three hundred sixty-four thousand, eight hundred twenty".