83047680 has 252 divisors, whose sum is σ = 301602420. Its totient is φ = 21897216.

The previous prime is 83047649. The next prime is 83047681. The reversal of 83047680 is 8674038.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 60466176 = 4752^2 + 7776^2 .

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 (83047681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933076 + ... + 933164.

It is an arithmetic number, because the mean of its divisors is an integer number (1196835).

Almost surely, 2^83047680 is an apocalyptic number.

83047680 is a gapful number since it is divisible by the number (80) 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 83047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150801210).

83047680 is an abundant number, since it is smaller than the sum of its proper divisors (218554740).

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

83047680 is an frugal number, since it uses more digits than its factorization.

83047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83047680 is about 9113.0499834029. The cubic root of 83047680 is about 436.2905786782.

The spelling of 83047680 in words is "eighty-three million, forty-seven thousand, six hundred eighty".