42664000 has 56 divisors (see below), whose sum is σ = 105677208. Its totient is φ = 17062400.

The previous prime is 42663983. The next prime is 42664009. The reversal of 42664000 is 46624.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 41679936 = 992^2 + 6456^2 .

It is not an unprimeable number, because it can be changed into a prime (42664009) 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, 5334 + ... + 10666.

It is an arithmetic number, because the mean of its divisors is an integer number (1887093).

Almost surely, 2^42664000 is an apocalyptic number.

42664000 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 42664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52838604).

42664000 is an abundant number, since it is smaller than the sum of its proper divisors (63013208).

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

42664000 is an equidigital number, since it uses as much as digits as its factorization.

42664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42664000 is about 6531.7685200870. The cubic root of 42664000 is about 349.4249059056.

The spelling of 42664000 in words is "forty-two million, six hundred sixty-four thousand".