42846912 has 84 divisors (see below), whose sum is σ = 124617480. Its totient is φ = 14072832.

The previous prime is 42846911. The next prime is 42846913. The reversal of 42846912 is 21964824.

It is an interprime number because it is at equal distance from previous prime (42846911) and next prime (42846913).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42846911) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41539 + ... + 42557.

Almost surely, 2^42846912 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 42846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62308740).

42846912 is an abundant number, since it is smaller than the sum of its proper divisors (81770568).

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

42846912 is a wasteful number, since it uses less digits than its factorization.

42846912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1097 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42846912 is about 6545.7552658192. The cubic root of 42846912 is about 349.9235533719.

The spelling of 42846912 in words is "forty-two million, eight hundred forty-six thousand, nine hundred twelve".