1017920 has 28 divisors (see below), whose sum is σ = 2424684. Its totient is φ = 407040.

The previous prime is 1017889. The next prime is 1017923. The reversal of 1017920 is 297101.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 817216 = 448^2 + 904^2 .

It is a super-2 number, since 2×1017920² = 2072322252800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1017892 and 1017901.

It is not an unprimeable number, because it can be changed into a prime (1017923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1271 + ... + 1910.

2^1017920 is an apocalyptic number.

1017920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1017920 is an abundant number, since it is smaller than the sum of its proper divisors (1406764).

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

1017920 is an equidigital number, since it uses as much as digits as its factorization.

1017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1017920 is about 1008.9202148832. The cubic root of 1017920 is about 100.5938003655.

The spelling of 1017920 in words is "one million, seventeen thousand, nine hundred twenty".