42686200 has 48 divisors (see below), whose sum is σ = 101143080. Its totient is φ = 16748160.

The previous prime is 42686191. The next prime is 42686209. The reversal of 42686200 is 268624.

It is an interprime number because it is at equal distance from previous prime (42686191) and next prime (42686209).

It is a super-3 number, since 3×42686200³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42686209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8587 + ... + 12613.

Almost surely, 2^42686200 is an apocalyptic number.

42686200 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 42686200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50571540).

42686200 is an abundant number, since it is smaller than the sum of its proper divisors (58456880).

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

42686200 is a wasteful number, since it uses less digits than its factorization.

42686200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 42686200 is about 6533.4676856934. The cubic root of 42686200 is about 349.4855025665.

The spelling of 42686200 in words is "forty-two million, six hundred eighty-six thousand, two hundred".