1017841920 has 144 divisors (see below), whose sum is σ = 3296170752. Its totient is φ = 267632640.

The previous prime is 1017841919. The next prime is 1017841921. The reversal of 1017841920 is 291487101.

It is an interprime number because it is at equal distance from previous prime (1017841919) and next prime (1017841921).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1017841921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278505 + ... + 282135.

Almost surely, 2^1017841920 is an apocalyptic number.

1017841920 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 1017841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648085376).

1017841920 is an abundant number, since it is smaller than the sum of its proper divisors (2278328832).

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

1017841920 is an equidigital number, since it uses as much as digits as its factorization.

1017841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1017841920 is about 31903.6349026251. The cubic root of 1017841920 is about 1005.9122826919.

The spelling of 1017841920 in words is "one billion, seventeen million, eight hundred forty-one thousand, nine hundred twenty".