42945664 has 64 divisors (see below), whose sum is σ = 90086400. Its totient is φ = 20367360.

The previous prime is 42945659. The next prime is 42945667. The reversal of 42945664 is 46654924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42945667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313404 + ... + 313540.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 2^42945664 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 42945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45043200).

42945664 is an abundant number, since it is smaller than the sum of its proper divisors (47140736).

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

42945664 is a wasteful number, since it uses less digits than its factorization.

42945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 42945664 is about 6553.2941334874. The cubic root of 42945664 is about 350.1921774534.

The spelling of 42945664 in words is "forty-two million, nine hundred forty-five thousand, six hundred sixty-four".