64007040 has 256 divisors, whose sum is σ = 226048320. Its totient is φ = 15335424.

The previous prime is 64007039. The next prime is 64007051. The reversal of 64007040 is 4070046.

64007040 is a modest number, since divided by 7040 gives 6400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 64006998 and 64007016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207654 + ... + 1207706.

Almost surely, 2^64007040 is an apocalyptic number.

64007040 is a gapful number since it is divisible by the number (60) 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 64007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113024160).

64007040 is an abundant number, since it is smaller than the sum of its proper divisors (162041280).

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

64007040 is a wasteful number, since it uses less digits than its factorization.

64007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 64007040 is about 8000.4399879007. The cubic root of 64007040 is about 400.0146661289.

Adding to 64007040 its reverse (4070046), we get a palindrome (68077086).

The spelling of 64007040 in words is "sixty-four million, seven thousand, forty".