42162384 has 80 divisors (see below), whose sum is σ = 121420800. Its totient is φ = 12497280.

The previous prime is 42162383. The next prime is 42162389. The reversal of 42162384 is 48326124.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42162383) 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, 23967 + ... + 25665.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 2^42162384 is an apocalyptic number.

42162384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42162384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

42162384 is an abundant number, since it is smaller than the sum of its proper divisors (79258416).

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

42162384 is a wasteful number, since it uses less digits than its factorization.

42162384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1762 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42162384 is about 6493.2568099529. The cubic root of 42162384 is about 348.0500654617.

The spelling of 42162384 in words is "forty-two million, one hundred sixty-two thousand, three hundred eighty-four".