116284896 has 480 divisors, whose sum is σ = 461039040. Its totient is φ = 27869184.

The previous prime is 116284871. The next prime is 116284933. The reversal of 116284896 is 698482611.

116284896 is a `hidden beast` number, since 1 + 162 + 8 + 489 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4009810 + ... + 4009838.

It is an arithmetic number, because the mean of its divisors is an integer number (960498).

Almost surely, 2^116284896 is an apocalyptic number.

116284896 is a gapful number since it is divisible by the number (16) 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 116284896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

116284896 is an abundant number, since it is smaller than the sum of its proper divisors (344754144).

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

116284896 is a wasteful number, since it uses less digits than its factorization.

116284896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 116284896 is about 10783.5474682500. The cubic root of 116284896 is about 488.0988333370.

The spelling of 116284896 in words is "one hundred sixteen million, two hundred eighty-four thousand, eight hundred ninety-six".