42536800 has 36 divisors (see below), whose sum is σ = 103844916. Its totient is φ = 17014400.

The previous prime is 42536797. The next prime is 42536807. The reversal of 42536800 is 863524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42536807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25786 + ... + 27385.

It is an arithmetic number, because the mean of its divisors is an integer number (2884581).

Almost surely, 2^42536800 is an apocalyptic number.

42536800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42536800 is an abundant number, since it is smaller than the sum of its proper divisors (61308116).

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

42536800 is a wasteful number, since it uses less digits than its factorization.

42536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53191 (or 53178 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 42536800 is about 6522.0242256526. The cubic root of 42536800 is about 349.0772975148.

The spelling of 42536800 in words is "forty-two million, five hundred thirty-six thousand, eight hundred".