1017013680 has 240 divisors, whose sum is σ = 3525444000. Its totient is φ = 262631424.

The previous prime is 1017013667. The next prime is 1017013687. The reversal of 1017013680 is 863107101.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1017013687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3780586 + ... + 3780854.

It is an arithmetic number, because the mean of its divisors is an integer number (14689350).

Almost surely, 2^1017013680 is an apocalyptic number.

1017013680 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 1017013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762722000).

1017013680 is an abundant number, since it is smaller than the sum of its proper divisors (2508430320).

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

1017013680 is a wasteful number, since it uses less digits than its factorization.

1017013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1017013680 is about 31890.6519218407. The cubic root of 1017013680 is about 1005.6393644534.

The spelling of 1017013680 in words is "one billion, seventeen million, thirteen thousand, six hundred eighty".