1009633842 has 128 divisors (see below), whose sum is σ = 2762035200. Its totient is φ = 266796288.

The previous prime is 1009633841. The next prime is 1009633879. The reversal of 1009633842 is 2483369001.

1009633842 is a `hidden beast` number, since 10 + 0 + 9 + 633 + 8 + 4 + 2 = 666.

1009633842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1009633797 and 1009633806.

It is not an unprimeable number, because it can be changed into a prime (1009633841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377803 + ... + 380465.

It is an arithmetic number, because the mean of its divisors is an integer number (21578400).

Almost surely, 2^1009633842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009633842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381017600).

1009633842 is an abundant number, since it is smaller than the sum of its proper divisors (1752401358).

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

1009633842 is a wasteful number, since it uses less digits than its factorization.

1009633842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1009633842 is about 31774.7359076358. The cubic root of 1009633842 is about 1003.2010231841.

The spelling of 1009633842 in words is "one billion, nine million, six hundred thirty-three thousand, eight hundred forty-two".