1716661440 has 252 divisors, whose sum is σ = 6395551344. Its totient is φ = 422443008.

The previous prime is 1716661433. The next prime is 1716661481. The reversal of 1716661440 is 441666171.

It is a happy number.

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 = 1716661395 and 1716661404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484957 + ... + 488483.

It is an arithmetic number, because the mean of its divisors is an integer number (25379172).

Almost surely, 2^1716661440 is an apocalyptic number.

1716661440 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 1716661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197775672).

1716661440 is an abundant number, since it is smaller than the sum of its proper divisors (4678889904).

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

1716661440 is a wasteful number, since it uses less digits than its factorization.

1716661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1716661440 is about 41432.6132412620. The cubic root of 1716661440 is about 1197.3695715850.

It can be divided in two parts, 17166 and 61440, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 1716661440 in words is "one billion, seven hundred sixteen million, six hundred sixty-one thousand, four hundred forty".