83441664 has 120 divisors (see below), whose sum is σ = 249729480. Its totient is φ = 27758592.

The previous prime is 83441651. The next prime is 83441707. The reversal of 83441664 is 46614438.

It is a super-2 number, since 2×83441664² = 13925022582177792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165637 + ... + 166139.

It is an arithmetic number, because the mean of its divisors is an integer number (2081079).

Almost surely, 2^83441664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124864740).

83441664 is an abundant number, since it is smaller than the sum of its proper divisors (166287816).

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

83441664 is an equidigital number, since it uses as much as digits as its factorization.

83441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 508 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83441664 is about 9134.6408796405. The cubic root of 83441664 is about 436.9794215201.

The spelling of 83441664 in words is "eighty-three million, four hundred forty-one thousand, six hundred sixty-four".