42786144 has 120 divisors (see below), whose sum is σ = 133372008. Its totient is φ = 13409280.

The previous prime is 42786143. The next prime is 42786167. The reversal of 42786144 is 44168724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42786099 and 42786108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42786143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43579 + ... + 44549.

Almost surely, 2^42786144 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 42786144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66686004).

42786144 is an abundant number, since it is smaller than the sum of its proper divisors (90585864).

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

42786144 is a wasteful number, since it uses less digits than its factorization.

42786144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 993 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42786144 is about 6541.1118320970. Note that the first 3 decimals coincide. The cubic root of 42786144 is about 349.7580477448.

The spelling of 42786144 in words is "forty-two million, seven hundred eighty-six thousand, one hundred forty-four".