42570080 has 96 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 14446080.

The previous prime is 42570061. The next prime is 42570083. The reversal of 42570080 is 8007524.

It is a super-2 number, since 2×42570080² = 3624423422412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42570083) 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, 213821 + ... + 214019.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^42570080 is an apocalyptic number.

42570080 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 42570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

42570080 is an abundant number, since it is smaller than the sum of its proper divisors (73551520).

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

42570080 is a wasteful number, since it uses less digits than its factorization.

42570080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 42570080 is about 6524.5750819498. The cubic root of 42570080 is about 349.1683109750.

The spelling of 42570080 in words is "forty-two million, five hundred seventy thousand, eighty".