116411616 has 72 divisors (see below), whose sum is σ = 332088120. Its totient is φ = 38681856.

The previous prime is 116411609. The next prime is 116411623. The reversal of 116411616 is 616114611.

It is a happy number.

116411616 is a `hidden beast` number, since 1 + 1 + 6 + 41 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (116411609) and next prime (116411623).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 116411616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177946 + ... + 178598.

It is an arithmetic number, because the mean of its divisors is an integer number (4612335).

Almost surely, 2^116411616 is an apocalyptic number.

116411616 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 116411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166044060).

116411616 is an abundant number, since it is smaller than the sum of its proper divisors (215676504).

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

116411616 is a wasteful number, since it uses less digits than its factorization.

116411616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1277 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 116411616 is about 10789.4214858814. The cubic root of 116411616 is about 488.2760688234.

The spelling of 116411616 in words is "one hundred sixteen million, four hundred eleven thousand, six hundred sixteen".