42582120 has 128 divisors (see below), whose sum is σ = 147363840. Its totient is φ = 9642240.

The previous prime is 42582119. The next prime is 42582193. The reversal of 42582120 is 2128524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136765 + ... + 137075.

It is an arithmetic number, because the mean of its divisors is an integer number (1151280).

Almost surely, 2^42582120 is an apocalyptic number.

42582120 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 42582120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73681920).

42582120 is an abundant number, since it is smaller than the sum of its proper divisors (104781720).

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

42582120 is a wasteful number, since it uses less digits than its factorization.

42582120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42582120 is about 6525.4976821695. The cubic root of 42582120 is about 349.2012260349.

The spelling of 42582120 in words is "forty-two million, five hundred eighty-two thousand, one hundred twenty".