42910560 has 480 divisors, whose sum is σ = 193197312. Its totient is φ = 8709120.

The previous prime is 42910513. The next prime is 42910561. The reversal of 42910560 is 6501924.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×42910560³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42910561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997899 + ... + 997941.

Almost surely, 2^42910560 is an apocalyptic number.

42910560 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 42910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96598656).

42910560 is an abundant number, since it is smaller than the sum of its proper divisors (150286752).

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

42910560 is a wasteful number, since it uses less digits than its factorization.

42910560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

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

The square root of 42910560 is about 6550.6152382811. The cubic root of 42910560 is about 350.0967351660.

The spelling of 42910560 in words is "forty-two million, nine hundred ten thousand, five hundred sixty".