116507820 has 192 divisors, whose sum is σ = 394684416. Its totient is φ = 25297920.

The previous prime is 116507789. The next prime is 116507821. The reversal of 116507820 is 28705611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (116507821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317277 + ... + 317643.

It is an arithmetic number, because the mean of its divisors is an integer number (2055648).

Almost surely, 2^116507820 is an apocalyptic number.

116507820 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 116507820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197342208).

116507820 is an abundant number, since it is smaller than the sum of its proper divisors (278176596).

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

116507820 is a wasteful number, since it uses less digits than its factorization.

116507820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 116507820 is about 10793.8788208873. The cubic root of 116507820 is about 488.4105375832.

The spelling of 116507820 in words is "one hundred sixteen million, five hundred seven thousand, eight hundred twenty".