1017000720 has 120 divisors (see below), whose sum is σ = 3430184472. Its totient is φ = 270028800.

The previous prime is 1017000713. The next prime is 1017000757. The reversal of 1017000720 is 270007101.

It can be written as a sum of positive squares in 4 ways, for example, as 176464656 + 840536064 = 13284^2 + 28992^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1017000693 and 1017000702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170590 + ... + 176450.

Almost surely, 2^1017000720 is an apocalyptic number.

1017000720 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 1017000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715092236).

1017000720 is an abundant number, since it is smaller than the sum of its proper divisors (2413183752).

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

1017000720 is a wasteful number, since it uses less digits than its factorization.

1017000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1017000720 is about 31890.4487268524. The cubic root of 1017000720 is about 1005.6350927503.

Adding to 1017000720 its reverse (270007101), we get a palindrome (1287007821).

The spelling of 1017000720 in words is "one billion, seventeen million, seven hundred twenty", and thus it is an aban number.