1009174842 has 128 divisors (see below), whose sum is σ = 2585157120. Its totient is φ = 289059840.

The previous prime is 1009174819. The next prime is 1009174877. The reversal of 1009174842 is 2484719001.

1009174842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1009174842³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1009174797 and 1009174806.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1228792 + ... + 1229612.

It is an arithmetic number, because the mean of its divisors is an integer number (20196540).

Almost surely, 2^1009174842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009174842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292578560).

1009174842 is an abundant number, since it is smaller than the sum of its proper divisors (1575982278).

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

1009174842 is a wasteful number, since it uses less digits than its factorization.

1009174842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1009174842 is about 31767.5123671968. The cubic root of 1009174842 is about 1003.0489749703.

The spelling of 1009174842 in words is "one billion, nine million, one hundred seventy-four thousand, eight hundred forty-two".