83766144 has 128 divisors (see below), whose sum is σ = 277505280. Its totient is φ = 21749760.

The previous prime is 83766121. The next prime is 83766167. The reversal of 83766144 is 44166738.

It is an interprime number because it is at equal distance from previous prime (83766121) and next prime (83766167).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28152 + ... + 30984.

It is an arithmetic number, because the mean of its divisors is an integer number (2168010).

Almost surely, 2^83766144 is an apocalyptic number.

83766144 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 83766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138752640).

83766144 is an abundant number, since it is smaller than the sum of its proper divisors (193739136).

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

83766144 is a wasteful number, since it uses less digits than its factorization.

83766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2856 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 83766144 is about 9152.3846073032. The cubic root of 83766144 is about 437.5451168710.

The spelling of 83766144 in words is "eighty-three million, seven hundred sixty-six thousand, one hundred forty-four".