42845760 has 336 divisors, whose sum is σ = 166420800. Its totient is φ = 10450944.

The previous prime is 42845753. The next prime is 42845767. The reversal of 42845760 is 6754824.

42845760 is a `hidden beast` number, since 4 + 2 + 84 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42845753) and next prime (42845767).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42845767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477426 + ... + 1477454.

It is an arithmetic number, because the mean of its divisors is an integer number (495300).

Almost surely, 2^42845760 is an apocalyptic number.

42845760 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 42845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83210400).

42845760 is an abundant number, since it is smaller than the sum of its proper divisors (123575040).

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

42845760 is a wasteful number, since it uses less digits than its factorization.

42845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42845760 is about 6545.6672692706. The cubic root of 42845760 is about 349.9204172801.

The spelling of 42845760 in words is "forty-two million, eight hundred forty-five thousand, seven hundred sixty".