42223680 has 196 divisors, whose sum is σ = 151581612. Its totient is φ = 11197440.

The previous prime is 42223679. The next prime is 42223703. The reversal of 42223680 is 8632224.

42223680 is a `hidden beast` number, since 422 + 236 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 36578304 = 2376^2 + 6048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233190 + ... + 233370.

Almost surely, 2^42223680 is an apocalyptic number.

42223680 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 42223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75790806).

42223680 is an abundant number, since it is smaller than the sum of its proper divisors (109357932).

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

42223680 is an equidigital number, since it uses as much as digits as its factorization.

42223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42223680 is about 6497.9750692043. The cubic root of 42223680 is about 348.2186497509.

The spelling of 42223680 in words is "forty-two million, two hundred twenty-three thousand, six hundred eighty".