116833248 has 216 divisors, whose sum is σ = 410063472. Its totient is φ = 31352832.

The previous prime is 116833247. The next prime is 116833271. The reversal of 116833248 is 842338611.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116833247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239661 + ... + 240147.

It is an arithmetic number, because the mean of its divisors is an integer number (1898442).

Almost surely, 2^116833248 is an apocalyptic number.

116833248 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 116833248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205031736).

116833248 is an abundant number, since it is smaller than the sum of its proper divisors (293230224).

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

116833248 is a wasteful number, since it uses less digits than its factorization.

116833248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 516 counting only the distinct ones).

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

The square root of 116833248 is about 10808.9429640460. The cubic root of 116833248 is about 488.8648553230.

The spelling of 116833248 in words is "one hundred sixteen million, eight hundred thirty-three thousand, two hundred forty-eight".