116448640 has 256 divisors, whose sum is σ = 370137600. Its totient is φ = 33914880.

The previous prime is 116448611. The next prime is 116448641. The reversal of 116448640 is 46844611.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 116448596 and 116448605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116448641) 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 31 ways as a sum of consecutive naturals, for example, 837691 + ... + 837829.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^116448640 is an apocalyptic number.

116448640 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 116448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

116448640 is an abundant number, since it is smaller than the sum of its proper divisors (253688960).

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

116448640 is a wasteful number, since it uses less digits than its factorization.

116448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 116448640 is about 10791.1371041239. The cubic root of 116448640 is about 488.3278277389.

The spelling of 116448640 in words is "one hundred sixteen million, four hundred forty-eight thousand, six hundred forty".