1009235920 has 160 divisors (see below), whose sum is σ = 3079802880. Its totient is φ = 297976320.

The previous prime is 1009235897. The next prime is 1009235933. The reversal of 1009235920 is 295329001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112729 + ... + 121351.

It is an arithmetic number, because the mean of its divisors is an integer number (19248768).

Almost surely, 2^1009235920 is an apocalyptic number.

1009235920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009235920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539901440).

1009235920 is an abundant number, since it is smaller than the sum of its proper divisors (2070566960).

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

1009235920 is a wasteful number, since it uses less digits than its factorization.

1009235920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 1009235920 is about 31768.4736806791. The cubic root of 1009235920 is about 1003.0692103107.

The spelling of 1009235920 in words is "one billion, nine million, two hundred thirty-five thousand, nine hundred twenty".