42686592 has 128 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 12337152.

The previous prime is 42686591. The next prime is 42686629. The reversal of 42686592 is 29568624.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×42686592³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42686591) 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, 84613 + ... + 85115.

It is an arithmetic number, because the mean of its divisors is an integer number (1012095).

Almost surely, 2^42686592 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 42686592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

42686592 is an abundant number, since it is smaller than the sum of its proper divisors (86861568).

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

42686592 is a wasteful number, since it uses less digits than its factorization.

42686592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 42686592 is about 6533.4976850076. The cubic root of 42686592 is about 349.4865723728.

The spelling of 42686592 in words is "forty-two million, six hundred eighty-six thousand, five hundred ninety-two".