42261600 has 72 divisors (see below), whose sum is σ = 137569320. Its totient is φ = 11269120.

The previous prime is 42261599. The next prime is 42261607. The reversal of 42261600 is 616224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42261607) 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, 6405 + ... + 11204.

It is an arithmetic number, because the mean of its divisors is an integer number (1910685).

Almost surely, 2^42261600 is an apocalyptic number.

42261600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42261600 is an abundant number, since it is smaller than the sum of its proper divisors (95307720).

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

42261600 is a wasteful number, since it uses less digits than its factorization.

42261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17619 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42261600 is about 6500.8922464536. The cubic root of 42261600 is about 348.3228606290.

Adding to 42261600 its reverse (616224), we get a palindrome (42877824).

The spelling of 42261600 in words is "forty-two million, two hundred sixty-one thousand, six hundred".