64050144 has 48 divisors (see below), whose sum is σ = 169701840. Its totient is φ = 21150720.

The previous prime is 64050137. The next prime is 64050149. The reversal of 64050144 is 44105046.

64050144 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 (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64050149) 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 7 ways as a sum of consecutive naturals, for example, 7404 + ... + 13524.

It is an arithmetic number, because the mean of its divisors is an integer number (3535455).

Almost surely, 2^64050144 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 64050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84850920).

64050144 is an abundant number, since it is smaller than the sum of its proper divisors (105651696).

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

64050144 is a wasteful number, since it uses less digits than its factorization.

64050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243 (or 6235 counting only the distinct ones).

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

The square root of 64050144 is about 8003.1333863681. The cubic root of 64050144 is about 400.1044393953.

The spelling of 64050144 in words is "sixty-four million, fifty thousand, one hundred forty-four".