83768664 has 96 divisors (see below), whose sum is σ = 246827520. Its totient is φ = 23197248.

The previous prime is 83768653. The next prime is 83768683. The reversal of 83768664 is 46686738.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813237 + ... + 813339.

It is an arithmetic number, because the mean of its divisors is an integer number (2571120).

Almost surely, 2^83768664 is an apocalyptic number.

83768664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83768664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123413760).

83768664 is an abundant number, since it is smaller than the sum of its proper divisors (163058856).

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

83768664 is a wasteful number, since it uses less digits than its factorization.

83768664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 162 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 83768664 is about 9152.5222753075. The cubic root of 83768664 is about 437.5495044934.

The spelling of 83768664 in words is "eighty-three million, seven hundred sixty-eight thousand, six hundred sixty-four".