42643600 has 120 divisors (see below), whose sum is σ = 111937280. Its totient is φ = 15552000.

The previous prime is 42643597. The next prime is 42643613. The reversal of 42643600 is 634624.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235510 + ... + 235690.

Almost surely, 2^42643600 is an apocalyptic number.

42643600 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 42643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55968640).

42643600 is an abundant number, since it is smaller than the sum of its proper divisors (69293680).

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

42643600 is a wasteful number, since it uses less digits than its factorization.

42643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 42643600 is about 6530.2067348592. The cubic root of 42643600 is about 349.3692039515.

The spelling of 42643600 in words is "forty-two million, six hundred forty-three thousand, six hundred".