1017666540 has 144 divisors (see below), whose sum is σ = 3385942560. Its totient is φ = 245360640.

The previous prime is 1017666523. The next prime is 1017666553. The reversal of 1017666540 is 456667101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1017666495 and 1017666504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388756 + ... + 391364.

It is an arithmetic number, because the mean of its divisors is an integer number (23513490).

Almost surely, 2^1017666540 is an apocalyptic number.

1017666540 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 1017666540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692971280).

1017666540 is an abundant number, since it is smaller than the sum of its proper divisors (2368276020).

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

1017666540 is a wasteful number, since it uses less digits than its factorization.

1017666540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1017666540 is about 31900.8861945871. The cubic root of 1017666540 is about 1005.8545045549.

The spelling of 1017666540 in words is "one billion, seventeen million, six hundred sixty-six thousand, five hundred forty".