83766690 has 256 divisors, whose sum is σ = 278691840. Its totient is φ = 17487360.

The previous prime is 83766677. The next prime is 83766691. The reversal of 83766690 is 9666738.

It is a super-3 number, since 3×83766690³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83766691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1782247 + ... + 1782293.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^83766690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83766690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

83766690 is an abundant number, since it is smaller than the sum of its proper divisors (194925150).

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

83766690 is a wasteful number, since it uses less digits than its factorization.

83766690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

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

The square root of 83766690 is about 9152.4144355465. The cubic root of 83766690 is about 437.5460675300.

The spelling of 83766690 in words is "eighty-three million, seven hundred sixty-six thousand, six hundred ninety".