1617713640 has 128 divisors (see below), whose sum is σ = 5401440000. Its totient is φ = 430665984.

The previous prime is 1617713639. The next prime is 1617713677. The reversal of 1617713640 is 463177161.

1617713640 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 7 + 1 + 3 + 640 = 666.

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 = 1617713595 and 1617713604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043586 + ... + 1045134.

It is an arithmetic number, because the mean of its divisors is an integer number (42198750).

Almost surely, 2^1617713640 is an apocalyptic number.

1617713640 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 1617713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720000).

1617713640 is an abundant number, since it is smaller than the sum of its proper divisors (3783726360).

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

1617713640 is a wasteful number, since it uses less digits than its factorization.

1617713640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1617713640 is about 40220.8110311068. The cubic root of 1617713640 is about 1173.9075138977.

The spelling of 1617713640 in words is "one billion, six hundred seventeen million, seven hundred thirteen thousand, six hundred forty".