83288766 has 64 divisors (see below), whose sum is σ = 187971840. Its totient is φ = 24387840.

The previous prime is 83288749. The next prime is 83288791. The reversal of 83288766 is 66788238.

It is a happy number.

It is a super-3 number, since 3×83288766³ (a number of 25 digits) contains 333 as substring.

It is a congruent 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, 284116 + ... + 284408.

It is an arithmetic number, because the mean of its divisors is an integer number (2937060).

Almost surely, 2^83288766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83288766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93985920).

83288766 is an abundant number, since it is smaller than the sum of its proper divisors (104683074).

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

83288766 is a wasteful number, since it uses less digits than its factorization.

83288766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441.

The product of its digits is 774144, while the sum is 48.

The square root of 83288766 is about 9126.2679119123. The cubic root of 83288766 is about 436.7123521793.

It can be divided in two parts, 832 and 88766, that added together give a palindrome (89598).

The spelling of 83288766 in words is "eighty-three million, two hundred eighty-eight thousand, seven hundred sixty-six".