42090984 has 96 divisors (see below), whose sum is σ = 123931080. Its totient is φ = 12828672.

The previous prime is 42090973. The next prime is 42091003. The reversal of 42090984 is 48909024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16990884 + 25100100 = 4122^2 + 5010^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180532 + ... + 180764.

Almost surely, 2^42090984 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 42090984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61965540).

42090984 is an abundant number, since it is smaller than the sum of its proper divisors (81840096).

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

42090984 is a wasteful number, since it uses less digits than its factorization.

42090984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42090984 is about 6487.7564689190. The cubic root of 42090984 is about 347.8534856877.

The spelling of 42090984 in words is "forty-two million, ninety thousand, nine hundred eighty-four".