116405820 has 144 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 29933568.

The previous prime is 116405819. The next prime is 116405831. The reversal of 116405820 is 28504611.

116405820 is a `hidden beast` number, since 11 + 640 + 5 + 8 + 2 + 0 = 666.

It is a super-4 number, since 4×116405820⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030084 + ... + 1030196.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^116405820 is an apocalyptic number.

116405820 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 116405820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

116405820 is an abundant number, since it is smaller than the sum of its proper divisors (249588900).

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

116405820 is a wasteful number, since it uses less digits than its factorization.

116405820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116405820 is about 10789.1528861167. The cubic root of 116405820 is about 488.2679651216.

The spelling of 116405820 in words is "one hundred sixteen million, four hundred five thousand, eight hundred twenty".