116632224 has 144 divisors (see below), whose sum is σ = 351685152. Its totient is φ = 38009088.

The previous prime is 116632207. The next prime is 116632301. The reversal of 116632224 is 422236611.

116632224 is a `hidden beast` number, since 1 + 1 + 6 + 632 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411987 + ... + 412269.

It is an arithmetic number, because the mean of its divisors is an integer number (2442258).

Almost surely, 2^116632224 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 116632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175842576).

116632224 is an abundant number, since it is smaller than the sum of its proper divisors (235052928).

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

116632224 is an equidigital number, since it uses as much as digits as its factorization.

116632224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 116632224 is about 10799.6399939998. The cubic root of 116632224 is about 488.5843130753.

Adding to 116632224 its reverse (422236611), we get a palindrome (538868835).

The spelling of 116632224 in words is "one hundred sixteen million, six hundred thirty-two thousand, two hundred twenty-four".