116638368 has 192 divisors, whose sum is σ = 394813440. Its totient is φ = 29260800.

The previous prime is 116638351. The next prime is 116638409. The reversal of 116638368 is 863836611.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228898 + ... + 229406.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2^116638368 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 116638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

116638368 is an abundant number, since it is smaller than the sum of its proper divisors (278175072).

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

116638368 is a wasteful number, since it uses less digits than its factorization.

116638368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 563 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 116638368 is about 10799.9244441802. The cubic root of 116638368 is about 488.5928922061.

The spelling of 116638368 in words is "one hundred sixteen million, six hundred thirty-eight thousand, three hundred sixty-eight".