83680542 has 48 divisors (see below), whose sum is σ = 199875312. Its totient is φ = 25090560.

The previous prime is 83680489. The next prime is 83680543. The reversal of 83680542 is 24508638.

83680542 is a `hidden beast` number, since 8 + 36 + 80 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83680497 and 83680506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83680543) by changing a digit.

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, 17028 + ... + 21384.

It is an arithmetic number, because the mean of its divisors is an integer number (4164069).

Almost surely, 2^83680542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83680542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99937656).

83680542 is an abundant number, since it is smaller than the sum of its proper divisors (116194770).

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

83680542 is a wasteful number, since it uses less digits than its factorization.

83680542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83680542 is about 9147.7069257820. The cubic root of 83680542 is about 437.3960212217.

It can be divided in two parts, 83 and 680542, that added together give a square (680625 = 825²).

The spelling of 83680542 in words is "eighty-three million, six hundred eighty thousand, five hundred forty-two".