42036320 has 96 divisors (see below), whose sum is σ = 104055840. Its totient is φ = 16035840.

The previous prime is 42036317. The next prime is 42036347. The reversal of 42036320 is 2363024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42036292 and 42036301.

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, 575804 + ... + 575876.

It is an arithmetic number, because the mean of its divisors is an integer number (1083915).

Almost surely, 2^42036320 is an apocalyptic number.

42036320 is a gapful number since it is divisible by the number (40) 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 42036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52027920).

42036320 is an abundant number, since it is smaller than the sum of its proper divisors (62019520).

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

42036320 is a wasteful number, since it uses less digits than its factorization.

42036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 42036320 is about 6483.5422417071. The cubic root of 42036320 is about 347.7028334675.

Adding to 42036320 its reverse (2363024), we get a palindrome (44399344).

The spelling of 42036320 in words is "forty-two million, thirty-six thousand, three hundred twenty".