42807312 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 14168448.

The previous prime is 42807307. The next prime is 42807341. The reversal of 42807312 is 21370824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84853 + ... + 85355.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^42807312 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 42807312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

42807312 is an abundant number, since it is smaller than the sum of its proper divisors (80934768).

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

42807312 is a wasteful number, since it uses less digits than its factorization.

42807312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42807312 is about 6542.7297055587. The cubic root of 42807312 is about 349.8157179548.

The spelling of 42807312 in words is "forty-two million, eight hundred seven thousand, three hundred twelve".