42984032 has 96 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 16386048.

The previous prime is 42984017. The next prime is 42984043. The reversal of 42984032 is 23048924.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42984032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84194 + ... + 84702.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^42984032 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 42984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

42984032 is an abundant number, since it is smaller than the sum of its proper divisors (64972768).

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

42984032 is a wasteful number, since it uses less digits than its factorization.

42984032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 42984032 is about 6556.2208626617. The cubic root of 42984032 is about 350.2964345764.

The spelling of 42984032 in words is "forty-two million, nine hundred eighty-four thousand, thirty-two".