64005040 has 40 divisors (see below), whose sum is σ = 162342288. Its totient is φ = 23274240.

The previous prime is 64005031. The next prime is 64005041. The reversal of 64005040 is 4050046.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 64004999 and 64005017.

It is not an unprimeable number, because it can be changed into a prime (64005041) 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, 35487 + ... + 37246.

Almost surely, 2^64005040 is an apocalyptic number.

It is an amenable number.

64005040 is an abundant number, since it is smaller than the sum of its proper divisors (98337248).

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

64005040 is a wasteful number, since it uses less digits than its factorization.

64005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72757 (or 72751 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 64005040 is about 8000.3149937987. The cubic root of 64005040 is about 400.0104997244.

Adding to 64005040 its reverse (4050046), we get a palindrome (68055086).

The spelling of 64005040 in words is "sixty-four million, five thousand, forty".