83706280 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 28368384.

The previous prime is 83706221. The next prime is 83706281. The reversal of 83706280 is 8260738.

It is a happy number.

It is a super-2 number, since 2×83706280² = 14013482622876800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83706281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23241 + ... + 26599.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^83706280 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 83706280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

83706280 is an abundant number, since it is smaller than the sum of its proper divisors (134021720).

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

83706280 is a wasteful number, since it uses less digits than its factorization.

83706280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3462 counting only the distinct ones).

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

The square root of 83706280 is about 9149.1136182693. The cubic root of 83706280 is about 437.4408605776.

The spelling of 83706280 in words is "eighty-three million, seven hundred six thousand, two hundred eighty".