42689712 has 120 divisors (see below), whose sum is σ = 124877424. Its totient is φ = 12483072.

The previous prime is 42689693. The next prime is 42689719. The reversal of 42689712 is 21798624.

It is a super-3 number, since 3×42689712³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42689719) 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 23 ways as a sum of consecutive naturals, for example, 992763 + ... + 992805.

Almost surely, 2^42689712 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 42689712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62438712).

42689712 is an abundant number, since it is smaller than the sum of its proper divisors (82187712).

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

42689712 is a wasteful number, since it uses less digits than its factorization.

42689712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 98 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 42689712 is about 6533.7364501486. The cubic root of 42689712 is about 349.4950869242.

The spelling of 42689712 in words is "forty-two million, six hundred eighty-nine thousand, seven hundred twelve".