42083664 has 80 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 11952000.

The previous prime is 42083663. The next prime is 42083677. The reversal of 42083664 is 46638024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42083663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84087 + ... + 84585.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^42083664 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 42083664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

42083664 is an abundant number, since it is smaller than the sum of its proper divisors (82908336).

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

42083664 is a wasteful number, since it uses less digits than its factorization.

42083664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

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

The square root of 42083664 is about 6487.1923048419. The cubic root of 42083664 is about 347.8333195706.

The spelling of 42083664 in words is "forty-two million, eighty-three thousand, six hundred sixty-four".