42894960 has 80 divisors (see below), whose sum is σ = 133610496. Its totient is φ = 11384064.

The previous prime is 42894959. The next prime is 42894991. The reversal of 42894960 is 6949824.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87837 + ... + 88323.

Almost surely, 2^42894960 is an apocalyptic number.

42894960 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 42894960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66805248).

42894960 is an abundant number, since it is smaller than the sum of its proper divisors (90715536).

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

42894960 is a wasteful number, since it uses less digits than its factorization.

42894960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 42894960 is about 6549.4244021899. The cubic root of 42894960 is about 350.0543044991.

The spelling of 42894960 in words is "forty-two million, eight hundred ninety-four thousand, nine hundred sixty".