116610000 has 300 divisors, whose sum is σ = 425338848. Its totient is φ = 27456000.

The previous prime is 116609993. The next prime is 116610001. The reversal of 116610000 is 16611.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116610001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5069989 + ... + 5070011.

Almost surely, 2^116610000 is an apocalyptic number.

116610000 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 116610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212669424).

116610000 is an abundant number, since it is smaller than the sum of its proper divisors (308728848).

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

116610000 is a wasteful number, since it uses less digits than its factorization.

116610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 116610000 is about 10798.6110217935. The cubic root of 116610000 is about 488.5532782345.

Adding to 116610000 its reverse (16611), we get a palindrome (116626611).

The spelling of 116610000 in words is "one hundred sixteen million, six hundred ten thousand".