42653600 has 144 divisors (see below), whose sum is σ = 117554976. Its totient is φ = 14976000.

The previous prime is 42653599. The next prime is 42653609. The reversal of 42653600 is 635624.

It is a self number, because there is not a number n which added to its sum of digits gives 42653600.

It is not an unprimeable number, because it can be changed into a prime (42653609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325535 + ... + 325665.

It is an arithmetic number, because the mean of its divisors is an integer number (816354).

Almost surely, 2^42653600 is an apocalyptic number.

42653600 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 42653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58777488).

42653600 is an abundant number, since it is smaller than the sum of its proper divisors (74901376).

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

42653600 is a wasteful number, since it uses less digits than its factorization.

42653600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 42653600 is about 6530.9723625200. The cubic root of 42653600 is about 349.3965110502.

The spelling of 42653600 in words is "forty-two million, six hundred fifty-three thousand, six hundred".