116164224 has 192 divisors, whose sum is σ = 372340800. Its totient is φ = 34467840.

The previous prime is 116164187. The next prime is 116164231. The reversal of 116164224 is 422461611.

116164224 is a `hidden beast` number, since 1 + 1 + 616 + 42 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127757 + ... + 1127859.

It is an arithmetic number, because the mean of its divisors is an integer number (1939275).

Almost surely, 2^116164224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186170400).

116164224 is an abundant number, since it is smaller than the sum of its proper divisors (256176576).

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

116164224 is a wasteful number, since it uses less digits than its factorization.

116164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 116164224 is about 10777.9508256440. The cubic root of 116164224 is about 487.9299370883.

The spelling of 116164224 in words is "one hundred sixteen million, one hundred sixty-four thousand, two hundred twenty-four".