83687020 has 72 divisors (see below), whose sum is σ = 189335664. Its totient is φ = 31059072.

The previous prime is 83687017. The next prime is 83687033. The reversal of 83687020 is 2078638.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 483654 + ... + 483826.

It is an arithmetic number, because the mean of its divisors is an integer number (2629662).

Almost surely, 2^83687020 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 83687020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94667832).

83687020 is an abundant number, since it is smaller than the sum of its proper divisors (105648644).

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

83687020 is a wasteful number, since it uses less digits than its factorization.

83687020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 83687020 is about 9148.0609967359. The cubic root of 83687020 is about 437.4073077098.

The spelling of 83687020 in words is "eighty-three million, six hundred eighty-seven thousand, twenty".