116288640 has 192 divisors, whose sum is σ = 432726840. Its totient is φ = 28606464.

The previous prime is 116288629. The next prime is 116288659. The reversal of 116288640 is 46882611.

116288640 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46131264 + 70157376 = 6792^2 + 8376^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116288595 and 116288604.

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 23 ways as a sum of consecutive naturals, for example, 74104 + ... + 75656.

Almost surely, 2^116288640 is an apocalyptic number.

116288640 is a gapful number since it is divisible by the number (10) 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 116288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216363420).

116288640 is an abundant number, since it is smaller than the sum of its proper divisors (316438200).

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

116288640 is a wasteful number, since it uses less digits than its factorization.

116288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 116288640 is about 10783.7210646418. The cubic root of 116288640 is about 488.1040716855.

The spelling of 116288640 in words is "one hundred sixteen million, two hundred eighty-eight thousand, six hundred forty".