83706084 has 72 divisors (see below), whose sum is σ = 263809728. Its totient is φ = 21741120.

The previous prime is 83706083. The next prime is 83706137. The reversal of 83706084 is 48060738.

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

It is not an unprimeable number, because it can be changed into a prime (83706083) 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 23 ways as a sum of consecutive naturals, for example, 12327 + ... + 17870.

It is an arithmetic number, because the mean of its divisors is an integer number (3664024).

Almost surely, 2^83706084 is an apocalyptic number.

83706084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83706084 is an abundant number, since it is smaller than the sum of its proper divisors (180103644).

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

83706084 is a wasteful number, since it uses less digits than its factorization.

83706084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30225 (or 30220 counting only the distinct ones).

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

The square root of 83706084 is about 9149.1029068428. The cubic root of 83706084 is about 437.4405191517.

The spelling of 83706084 in words is "eighty-three million, seven hundred six thousand, eighty-four".