42664960 has 88 divisors (see below), whose sum is σ = 110390616. Its totient is φ = 15728640.

The previous prime is 42664949. The next prime is 42664967. The reversal of 42664960 is 6946624.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 37356544 = 2304^2 + 6112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42664967) 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, 66240 + ... + 66880.

Almost surely, 2^42664960 is an apocalyptic number.

42664960 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 42664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55195308).

42664960 is an abundant number, since it is smaller than the sum of its proper divisors (67725656).

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

42664960 is a wasteful number, since it uses less digits than its factorization.

42664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 42664960 is about 6531.8420066624. The cubic root of 42664960 is about 349.4275267366.

The spelling of 42664960 in words is "forty-two million, six hundred sixty-four thousand, nine hundred sixty".