64041040 has 180 divisors, whose sum is σ = 189500148. Its totient is φ = 19998720.

The previous prime is 64041037. The next prime is 64041083. The reversal of 64041040 is 4014046.

It can be written as a sum of positive squares in 2 ways, for example, as 36917776 + 27123264 = 6076^2 + 5208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64040999 and 64041017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2065825 + ... + 2065855.

Almost surely, 2^64041040 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 64041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94750074).

64041040 is an abundant number, since it is smaller than the sum of its proper divisors (125459108).

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

64041040 is a wasteful number, since it uses less digits than its factorization.

64041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 64041040 is about 8002.5645889302. The cubic root of 64041040 is about 400.0854817309.

Adding to 64041040 its reverse (4014046), we get a palindrome (68055086).

The spelling of 64041040 in words is "sixty-four million, forty-one thousand, forty".