116819040 has 192 divisors, whose sum is σ = 402446016. Its totient is φ = 28311552.

The previous prime is 116819039. The next prime is 116819041. The reversal of 116819040 is 40918611.

It is an interprime number because it is at equal distance from previous prime (116819039) and next prime (116819041).

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

It is a junction number, because it is equal to n+sod(n) for n = 116818989 and 116819007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116819041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605184 + ... + 605376.

It is an arithmetic number, because the mean of its divisors is an integer number (2096073).

Almost surely, 2^116819040 is an apocalyptic number.

116819040 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 116819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201223008).

116819040 is an abundant number, since it is smaller than the sum of its proper divisors (285626976).

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

116819040 is a wasteful number, since it uses less digits than its factorization.

116819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 116819040 is about 10808.2857105093. The cubic root of 116819040 is about 488.8450376953.

The spelling of 116819040 in words is "one hundred sixteen million, eight hundred nineteen thousand, forty".