42586956 has 36 divisors (see below), whose sum is σ = 108092712. Its totient is φ = 14137344.

The previous prime is 42586939. The next prime is 42586981. The reversal of 42586956 is 65968524.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×42586956³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6951 + ... + 11553.

Almost surely, 2^42586956 is an apocalyptic number.

It is an amenable number.

42586956 is an abundant number, since it is smaller than the sum of its proper divisors (65505756).

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

42586956 is a wasteful number, since it uses less digits than its factorization.

42586956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4865 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 42586956 is about 6525.8682180994. The cubic root of 42586956 is about 349.2144449884.

The spelling of 42586956 in words is "forty-two million, five hundred eighty-six thousand, nine hundred fifty-six".