42070560 has 192 divisors, whose sum is σ = 159667200. Its totient is φ = 9096192.

The previous prime is 42070559. The next prime is 42070571. The reversal of 42070560 is 6507024.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42070560.

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, 63511 + ... + 64169.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^42070560 is an apocalyptic number.

42070560 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 42070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

42070560 is an abundant number, since it is smaller than the sum of its proper divisors (117596640).

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

42070560 is a wasteful number, since it uses less digits than its factorization.

42070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 42070560 is about 6486.1822361078. The cubic root of 42070560 is about 347.7972130742.

Adding to 42070560 its reverse (6507024), we get a palindrome (48577584).

The spelling of 42070560 in words is "forty-two million, seventy thousand, five hundred sixty".