64181040 has 320 divisors, whose sum is σ = 260554752. Its totient is φ = 12672000.

The previous prime is 64181027. The next prime is 64181041. The reversal of 64181040 is 4018146.

64181040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64181040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64181041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424965 + ... + 425115.

Almost surely, 2^64181040 is an apocalyptic number.

64181040 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 64181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277376).

64181040 is an abundant number, since it is smaller than the sum of its proper divisors (196373712).

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

64181040 is a wasteful number, since it uses less digits than its factorization.

64181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 64181040 is about 8011.3070094711. The cubic root of 64181040 is about 400.3768115878.

Adding to 64181040 its reverse (4018146), we get a palindrome (68199186).

The spelling of 64181040 in words is "sixty-four million, one hundred eighty-one thousand, forty".