42686000 has 80 divisors (see below), whose sum is σ = 117998400. Its totient is φ = 14630400.

The previous prime is 42685949. The next prime is 42686009. The reversal of 42686000 is 68624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×42686000³ (a number of 24 digits) contains 333 as substring.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (42686009) 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 15 ways as a sum of consecutive naturals, for example, 12476 + ... + 15524.

It is an arithmetic number, because the mean of its divisors is an integer number (1474980).

Almost surely, 2^42686000 is an apocalyptic number.

42686000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58999200).

42686000 is an abundant number, since it is smaller than the sum of its proper divisors (75312400).

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

42686000 is a wasteful number, since it uses less digits than its factorization.

42686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 42686000 is about 6533.4523798678. The cubic root of 42686000 is about 349.4849567445.

The spelling of 42686000 in words is "forty-two million, six hundred eighty-six thousand".