42786864 has 60 divisors (see below), whose sum is σ = 121731792. Its totient is φ = 14025600.

The previous prime is 42786853. The next prime is 42786869. The reversal of 42786864 is 46868724.

It is not an unprimeable number, because it can be changed into a prime (42786869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6349 + ... + 11219.

Almost surely, 2^42786864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42786864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60865896).

42786864 is an abundant number, since it is smaller than the sum of its proper divisors (78944928).

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

42786864 is a wasteful number, since it uses less digits than its factorization.

42786864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4937 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 42786864 is about 6541.1668683806. The cubic root of 42786864 is about 349.7600096290.

The spelling of 42786864 in words is "forty-two million, seven hundred eighty-six thousand, eight hundred sixty-four".