42082560 has 216 divisors, whose sum is σ = 157359384. Its totient is φ = 10321920.

The previous prime is 42082543. The next prime is 42082613. The reversal of 42082560 is 6528024.

42082560 is a `hidden beast` number, since 4 + 20 + 82 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 40144896 = 1392^2 + 6336^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149620 + ... + 149900.

Almost surely, 2^42082560 is an apocalyptic number.

42082560 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 42082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78679692).

42082560 is an abundant number, since it is smaller than the sum of its proper divisors (115276824).

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

42082560 is a wasteful number, since it uses less digits than its factorization.

42082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42082560 is about 6487.1072135429. The cubic root of 42082560 is about 347.8302779205.

The spelling of 42082560 in words is "forty-two million, eighty-two thousand, five hundred sixty".