42535600 has 60 divisors (see below), whose sum is σ = 104610616. Its totient is φ = 16611840.

The previous prime is 42535583. The next prime is 42535609. The reversal of 42535600 is 653524.

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

It is not an unprimeable number, because it can be changed into a prime (42535609) 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, 15964 + ... + 18436.

Almost surely, 2^42535600 is an apocalyptic number.

42535600 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 42535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52305308).

42535600 is an abundant number, since it is smaller than the sum of its proper divisors (62075016).

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

42535600 is a wasteful number, since it uses less digits than its factorization.

42535600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 42535600 is about 6521.9322290254. The cubic root of 42535600 is about 349.0740148929.

The spelling of 42535600 in words is "forty-two million, five hundred thirty-five thousand, six hundred".