116890128 has 200 divisors, whose sum is σ = 367297920. Its totient is φ = 35769600.

The previous prime is 116890127. The next prime is 116890129. The reversal of 116890128 is 821098611.

It is an interprime number because it is at equal distance from previous prime (116890127) and next prime (116890129).

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 = 116890092 and 116890101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116890127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1157278 + ... + 1157378.

Almost surely, 2^116890128 is an apocalyptic number.

116890128 is a gapful number since it is divisible by the number (18) 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 116890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

116890128 is an abundant number, since it is smaller than the sum of its proper divisors (250407792).

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

116890128 is a wasteful number, since it uses less digits than its factorization.

116890128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 116890128 is about 10811.5737984810. The cubic root of 116890128 is about 488.9441766981.

The spelling of 116890128 in words is "one hundred sixteen million, eight hundred ninety thousand, one hundred twenty-eight".