664095040 has 168 divisors, whose sum is σ = 1886251752. Its totient is φ = 221921280.

The previous prime is 664095023. The next prime is 664095043. The reversal of 664095040 is 40590466.

It can be written as a sum of positive squares in 4 ways, for example, as 73410624 + 590684416 = 8568^2 + 24304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 664094987 and 664095005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664095043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642364 + ... + 643396.

It is an arithmetic number, because the mean of its divisors is an integer number (11227689).

Almost surely, 2^664095040 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 664095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943125876).

664095040 is an abundant number, since it is smaller than the sum of its proper divisors (1222156712).

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

664095040 is a wasteful number, since it uses less digits than its factorization.

664095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 664095040 is about 25770.0415211152. The cubic root of 664095040 is about 872.4557559193.

The spelling of 664095040 in words is "six hundred sixty-four million, ninety-five thousand, forty".