116581248 has 256 divisors, whose sum is σ = 404736000. Its totient is φ = 32348160.

The previous prime is 116581229. The next prime is 116581249. The reversal of 116581248 is 842185611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116581249) 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, 1475673 + ... + 1475751.

It is an arithmetic number, because the mean of its divisors is an integer number (1581000).

Almost surely, 2^116581248 is an apocalyptic number.

116581248 is a gapful number since it is divisible by the number (18) 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 116581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368000).

116581248 is an abundant number, since it is smaller than the sum of its proper divisors (288154752).

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

116581248 is an equidigital number, since it uses as much as digits as its factorization.

116581248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 116581248 is about 10797.2796573952. The cubic root of 116581248 is about 488.5131214769.

The spelling of 116581248 in words is "one hundred sixteen million, five hundred eighty-one thousand, two hundred forty-eight".