42976960 has 56 divisors (see below), whose sum is σ = 110221776. Its totient is φ = 15866880.

The previous prime is 42976937. The next prime is 42976961. The reversal of 42976960 is 6967924.

It is not an unprimeable number, because it can be changed into a prime (42976961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006 + ... + 9325.

It is an arithmetic number, because the mean of its divisors is an integer number (1968246).

Almost surely, 2^42976960 is an apocalyptic number.

42976960 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 42976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55110888).

42976960 is an abundant number, since it is smaller than the sum of its proper divisors (67244816).

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

42976960 is a wasteful number, since it uses less digits than its factorization.

42976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 42976960 is about 6555.6815053814. The cubic root of 42976960 is about 350.2772225408.

The spelling of 42976960 in words is "forty-two million, nine hundred seventy-six thousand, nine hundred sixty".