83766906 has 64 divisors (see below), whose sum is σ = 194400000. Its totient is φ = 26703936.

The previous prime is 83766883. The next prime is 83766911. The reversal of 83766906 is 60966738.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 233155 + ... + 233513.

It is an arithmetic number, because the mean of its divisors is an integer number (3037500).

Almost surely, 2^83766906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83766906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200000).

83766906 is an abundant number, since it is smaller than the sum of its proper divisors (110633094).

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

83766906 is a wasteful number, since it uses less digits than its factorization.

83766906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 83766906 is about 9152.4262357038. The cubic root of 83766906 is about 437.5464436137.

The spelling of 83766906 in words is "eighty-three million, seven hundred sixty-six thousand, nine hundred six".