116971800 has 192 divisors, whose sum is σ = 407116800. Its totient is φ = 27532800.

The previous prime is 116971787. The next prime is 116971801. The reversal of 116971800 is 8179611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116971801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243961 + ... + 244439.

It is an arithmetic number, because the mean of its divisors is an integer number (2120400).

Almost surely, 2^116971800 is an apocalyptic number.

116971800 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 116971800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

116971800 is an abundant number, since it is smaller than the sum of its proper divisors (290145000).

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

116971800 is a wasteful number, since it uses less digits than its factorization.

116971800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 116971800 is about 10815.3502023744. The cubic root of 116971800 is about 489.0580264947.

The spelling of 116971800 in words is "one hundred sixteen million, nine hundred seventy-one thousand, eight hundred".