42858960 has 80 divisors (see below), whose sum is σ = 135985344. Its totient is φ = 11160576.

The previous prime is 42858947. The next prime is 42858961. The reversal of 42858960 is 6985824.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42858961) 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, 8244 + ... + 12396.

Almost surely, 2^42858960 is an apocalyptic number.

42858960 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 42858960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67992672).

42858960 is an abundant number, since it is smaller than the sum of its proper divisors (93126384).

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

42858960 is a wasteful number, since it uses less digits than its factorization.

42858960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 42858960 is about 6546.6754921869. The cubic root of 42858960 is about 349.9563482975.

The spelling of 42858960 in words is "forty-two million, eight hundred fifty-eight thousand, nine hundred sixty".