42816600 has 144 divisors (see below), whose sum is σ = 149287320. Its totient is φ = 11404800.

The previous prime is 42816589. The next prime is 42816601. The reversal of 42816600 is 661824.

42816600 is a `hidden beast` number, since 42 + 8 + 16 + 600 = 666.

It is a super-2 number, since 2×42816600² = 3666522471120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42816601) 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 35 ways as a sum of consecutive naturals, for example, 48160 + ... + 49040.

Almost surely, 2^42816600 is an apocalyptic number.

42816600 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 42816600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74643660).

42816600 is an abundant number, since it is smaller than the sum of its proper divisors (106470720).

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

42816600 is a wasteful number, since it uses less digits than its factorization.

42816600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42816600 is about 6543.4394625457. The cubic root of 42816600 is about 349.8410162296.

The spelling of 42816600 in words is "forty-two million, eight hundred sixteen thousand, six hundred".