42682960 has 40 divisors (see below), whose sum is σ = 100931040. Its totient is φ = 16781952.

The previous prime is 42682933. The next prime is 42682993. The reversal of 42682960 is 6928624.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 9241.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276).

Almost surely, 2^42682960 is an apocalyptic number.

42682960 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 42682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465520).

42682960 is an abundant number, since it is smaller than the sum of its proper divisors (58248080).

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

42682960 is a wasteful number, since it uses less digits than its factorization.

42682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9115 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 42682960 is about 6533.2197269034. The cubic root of 42682960 is about 349.4766600391.

The spelling of 42682960 in words is "forty-two million, six hundred eighty-two thousand, nine hundred sixty".