116468640 has 144 divisors (see below), whose sum is σ = 411301800. Its totient is φ = 29976576.

The previous prime is 116468633. The next prime is 116468647. The reversal of 116468640 is 46864611.

116468640 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 6 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (116468633) and next prime (116468647).

It can be written as a sum of positive squares in 4 ways, for example, as 99920016 + 16548624 = 9996^2 + 4068^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 116468595 and 116468604.

It is not an unprimeable number, because it can be changed into a prime (116468647) by changing a digit.

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, 40366 + ... + 43154.

Almost surely, 2^116468640 is an apocalyptic number.

116468640 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 116468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205650900).

116468640 is an abundant number, since it is smaller than the sum of its proper divisors (294833160).

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

116468640 is a wasteful number, since it uses less digits than its factorization.

116468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 116468640 is about 10792.0637507383. The cubic root of 116468640 is about 488.3557828313.

The spelling of 116468640 in words is "one hundred sixteen million, four hundred sixty-eight thousand, six hundred forty".