116409216 has 256 divisors, whose sum is σ = 401080320. Its totient is φ = 29030400.

The previous prime is 116409211. The next prime is 116409239. The reversal of 116409216 is 612904611.

It is a happy number.

It is a super-5 number, since 5×116409216⁵ (a number of 42 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116409211) 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, 916545 + ... + 916671.

It is an arithmetic number, because the mean of its divisors is an integer number (1566720).

Almost surely, 2^116409216 is an apocalyptic number.

116409216 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 116409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200540160).

116409216 is an abundant number, since it is smaller than the sum of its proper divisors (284671104).

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

116409216 is a wasteful number, since it uses less digits than its factorization.

116409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 116409216 is about 10789.3102652579. The cubic root of 116409216 is about 488.2727132860.

The spelling of 116409216 in words is "one hundred sixteen million, four hundred nine thousand, two hundred sixteen".