42590160 has 120 divisors (see below), whose sum is σ = 144354600. Its totient is φ = 11252736.

The previous prime is 42590159. The next prime is 42590189. The reversal of 42590160 is 6109524.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 41062464 = 1236^2 + 6408^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107082 + ... + 107478.

It is an arithmetic number, because the mean of its divisors is an integer number (1202955).

Almost surely, 2^42590160 is an apocalyptic number.

42590160 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 42590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72177300).

42590160 is an abundant number, since it is smaller than the sum of its proper divisors (101764440).

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

42590160 is a wasteful number, since it uses less digits than its factorization.

42590160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42590160 is about 6526.1136980595. The cubic root of 42590160 is about 349.2232024041.

Adding to 42590160 its reverse (6109524), we get a palindrome (48699684).

The spelling of 42590160 in words is "forty-two million, five hundred ninety thousand, one hundred sixty".