64105440 has 96 divisors (see below), whose sum is σ = 230791680. Its totient is φ = 14651904.

The previous prime is 64105429. The next prime is 64105441. The reversal of 64105440 is 4450146.

64105440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 64105440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64105441) 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 15 ways as a sum of consecutive naturals, for example, 6180 + ... + 12899.

It is an arithmetic number, because the mean of its divisors is an integer number (2404080).

Almost surely, 2^64105440 is an apocalyptic number.

64105440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64105440 is an abundant number, since it is smaller than the sum of its proper divisors (166686240).

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

64105440 is a wasteful number, since it uses less digits than its factorization.

64105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19104 (or 19096 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 64105440 is about 8006.5872879773. The cubic root of 64105440 is about 400.2195461433.

Adding to 64105440 its reverse (4450146), we get a palindrome (68555586).

The spelling of 64105440 in words is "sixty-four million, one hundred five thousand, four hundred forty".