1009633820 has 24 divisors (see below), whose sum is σ = 2283326304. Its totient is φ = 372787776.

The previous prime is 1009633819. The next prime is 1009633841. The reversal of 1009633820 is 283369001.

1009633820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1941344 + ... + 1941863.

It is an arithmetic number, because the mean of its divisors is an integer number (95138596).

Almost surely, 2^1009633820 is an apocalyptic number.

1009633820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009633820 is an abundant number, since it is smaller than the sum of its proper divisors (1273692484).

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

1009633820 is a wasteful number, since it uses less digits than its factorization.

1009633820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883229 (or 3883227 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1009633820 is about 31774.7355614488. The cubic root of 1009633820 is about 1003.2010158975.

The spelling of 1009633820 in words is "one billion, nine million, six hundred thirty-three thousand, eight hundred twenty".