83359248 has 160 divisors (see below), whose sum is σ = 260554752. Its totient is φ = 22464000.

The previous prime is 83359231. The next prime is 83359277. The reversal of 83359248 is 84295338.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551973 + ... + 552123.

Almost surely, 2^83359248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83359248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277376).

83359248 is an abundant number, since it is smaller than the sum of its proper divisors (177195504).

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

83359248 is a wasteful number, since it uses less digits than its factorization.

83359248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 83359248 is about 9130.1285861701. The cubic root of 83359248 is about 436.8355047687.

The spelling of 83359248 in words is "eighty-three million, three hundred fifty-nine thousand, two hundred forty-eight".