42707832 has 64 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 13643520.

The previous prime is 42707831. The next prime is 42707837. The reversal of 42707832 is 23870724.

It is a super-3 number, since 3×42707832³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42707793 and 42707802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42707831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101719 + ... + 102137.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^42707832 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 42707832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

42707832 is an abundant number, since it is smaller than the sum of its proper divisors (68575368).

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

42707832 is a wasteful number, since it uses less digits than its factorization.

42707832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 42707832 is about 6535.1229521716. The cubic root of 42707832 is about 349.5445286193.

The spelling of 42707832 in words is "forty-two million, seven hundred seven thousand, eight hundred thirty-two".