116617560 has 64 divisors (see below), whose sum is σ = 350956800. Its totient is φ = 30999936.

The previous prime is 116617549. The next prime is 116617561. The reversal of 116617560 is 65716611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116617561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41727 + ... + 44433.

It is an arithmetic number, because the mean of its divisors is an integer number (5483700).

Almost surely, 2^116617560 is an apocalyptic number.

116617560 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 116617560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175478400).

116617560 is an abundant number, since it is smaller than the sum of its proper divisors (234339240).

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

116617560 is a wasteful number, since it uses less digits than its factorization.

116617560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 116617560 is about 10798.9610611392. The cubic root of 116617560 is about 488.5638358853.

The spelling of 116617560 in words is "one hundred sixteen million, six hundred seventeen thousand, five hundred sixty".