42084924 has 72 divisors (see below), whose sum is σ = 120274560. Its totient is φ = 11388384.

The previous prime is 42084923. The next prime is 42084941. The reversal of 42084924 is 42948024.

It is a super-2 number, since 2×42084924² = 3542281656171552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42084923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9289 + ... + 13055.

It is an arithmetic number, because the mean of its divisors is an integer number (1670480).

Almost surely, 2^42084924 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 42084924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60137280).

42084924 is an abundant number, since it is smaller than the sum of its proper divisors (78189636).

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

42084924 is a wasteful number, since it uses less digits than its factorization.

42084924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 42084924 is about 6487.2894185476. The cubic root of 42084924 is about 347.8367909541.

The spelling of 42084924 in words is "forty-two million, eighty-four thousand, nine hundred twenty-four".