83313648 has 120 divisors (see below), whose sum is σ = 256791600. Its totient is φ = 25006080.

The previous prime is 83313619. The next prime is 83313667. The reversal of 83313648 is 84631338.

It is a happy number.

83313648 is a `hidden beast` number, since 8 + 3 + 3 + 1 + 3 + 648 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235840 + ... + 236192.

It is an arithmetic number, because the mean of its divisors is an integer number (2139930).

Almost surely, 2^83313648 is an apocalyptic number.

83313648 is a gapful number since it is divisible by the number (88) 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 83313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128395800).

83313648 is an abundant number, since it is smaller than the sum of its proper divisors (173477952).

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

83313648 is a wasteful number, since it uses less digits than its factorization.

83313648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83313648 is about 9127.6310179586. The cubic root of 83313648 is about 436.7558362143.

The spelling of 83313648 in words is "eighty-three million, three hundred thirteen thousand, six hundred forty-eight".