42851760 has 160 divisors (see below), whose sum is σ = 158561280. Its totient is φ = 9360384.

The previous prime is 42851723. The next prime is 42851771. The reversal of 42851760 is 6715824.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 38086 + ... + 39194.

It is an arithmetic number, because the mean of its divisors is an integer number (991008).

Almost surely, 2^42851760 is an apocalyptic number.

42851760 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 42851760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79280640).

42851760 is an abundant number, since it is smaller than the sum of its proper divisors (115709520).

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

42851760 is a wasteful number, since it uses less digits than its factorization.

42851760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 42851760 is about 6546.1255716645. The cubic root of 42851760 is about 349.9367504754.

The spelling of 42851760 in words is "forty-two million, eight hundred fifty-one thousand, seven hundred sixty".