1017891072 has 108 divisors (see below), whose sum is σ = 3201713424. Its totient is φ = 308444160.

The previous prime is 1017891041. The next prime is 1017891089. The reversal of 1017891072 is 2701987101.

It is a super-2 number, since 2×1017891072² = 2072204468914618368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5263 + ... + 45425.

Almost surely, 2^1017891072 is an apocalyptic number.

1017891072 is a gapful number since it is divisible by the number (12) 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 1017891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600856712).

1017891072 is an abundant number, since it is smaller than the sum of its proper divisors (2183822352).

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

1017891072 is a wasteful number, since it uses less digits than its factorization.

1017891072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40196 (or 40179 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 1017891072 is about 31904.4052130736. The cubic root of 1017891072 is about 1005.9284744023.

The spelling of 1017891072 in words is "one billion, seventeen million, eight hundred ninety-one thousand, seventy-two".