1716004160 has 112 divisors (see below), whose sum is σ = 4508339472. Its totient is φ = 618086400.

The previous prime is 1716004159. The next prime is 1716004193. The reversal of 1716004160 is 614006171.

It can be written as a sum of positive squares in 8 ways, for example, as 411927616 + 1304076544 = 20296^2 + 36112^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165530 + ... + 175590.

It is an arithmetic number, because the mean of its divisors is an integer number (40253031).

Almost surely, 2^1716004160 is an apocalyptic number.

1716004160 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 1716004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254169736).

1716004160 is an abundant number, since it is smaller than the sum of its proper divisors (2792335312).

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

1716004160 is a wasteful number, since it uses less digits than its factorization.

1716004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1716004160 is about 41424.6805660587. The cubic root of 1716004160 is about 1197.2167347047.

The spelling of 1716004160 in words is "one billion, seven hundred sixteen million, four thousand, one hundred sixty".