83371680 has 240 divisors, whose sum is σ = 336631680. Its totient is φ = 19035648.

The previous prime is 83371669. The next prime is 83371697. The reversal of 83371680 is 8617338.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 90261 + ... + 91179.

It is an arithmetic number, because the mean of its divisors is an integer number (1402632).

Almost surely, 2^83371680 is an apocalyptic number.

83371680 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 83371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168315840).

83371680 is an abundant number, since it is smaller than the sum of its proper divisors (253260000).

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

83371680 is a wasteful number, since it uses less digits than its factorization.

83371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83371680 is about 9130.8093836198. The cubic root of 83371680 is about 436.8572198920.

The spelling of 83371680 in words is "eighty-three million, three hundred seventy-one thousand, six hundred eighty".