42625664 has 64 divisors (see below), whose sum is σ = 94737600. Its totient is φ = 18984960.

The previous prime is 42625619. The next prime is 42625669. The reversal of 42625664 is 46652624.

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

It is not an unprimeable number, because it can be changed into a prime (42625669) 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, 40829 + ... + 41859.

It is an arithmetic number, because the mean of its divisors is an integer number (1480275).

Almost surely, 2^42625664 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 42625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47368800).

42625664 is an abundant number, since it is smaller than the sum of its proper divisors (52111936).

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

42625664 is a wasteful number, since it uses less digits than its factorization.

42625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 42625664 is about 6528.8332801504. The cubic root of 42625664 is about 349.3202152420.

The spelling of 42625664 in words is "forty-two million, six hundred twenty-five thousand, six hundred sixty-four".