83664420 has 96 divisors (see below), whose sum is σ = 276998400. Its totient is φ = 18461184.

The previous prime is 83664403. The next prime is 83664431. The reversal of 83664420 is 2446638.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8746 + ... + 15614.

It is an arithmetic number, because the mean of its divisors is an integer number (2885400).

Almost surely, 2^83664420 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 83664420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138499200).

83664420 is an abundant number, since it is smaller than the sum of its proper divisors (193333980).

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

83664420 is a wasteful number, since it uses less digits than its factorization.

83664420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 83664420 is about 9146.8256788899. The cubic root of 83664420 is about 437.3679296591.

It can be divided in two parts, 836 and 64420, that added together give a palindrome (65256).

The spelling of 83664420 in words is "eighty-three million, six hundred sixty-four thousand, four hundred twenty".