42660900 has 108 divisors (see below), whose sum is σ = 135272592. Its totient is φ = 11244480.

The previous prime is 42660887. The next prime is 42660901. The reversal of 42660900 is 906624.

It is not an unprimeable number, because it can be changed into a prime (42660901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96079 + ... + 96521.

It is an arithmetic number, because the mean of its divisors is an integer number (1252524).

Almost surely, 2^42660900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42660900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67636296).

42660900 is an abundant number, since it is smaller than the sum of its proper divisors (92611692).

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

42660900 is a wasteful number, since it uses less digits than its factorization.

42660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42660900 is about 6531.5312140416. The cubic root of 42660900 is about 349.4164425373.

The spelling of 42660900 in words is "forty-two million, six hundred sixty thousand, nine hundred".