64241424 has 240 divisors, whose sum is σ = 212319744. Its totient is φ = 18662400.

The previous prime is 64241389. The next prime is 64241447. The reversal of 64241424 is 42414246.

It is a happy number.

64241424 is a `hidden beast` number, since 642 + 4 + 14 + 2 + 4 = 666.

64241424 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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1566844 + ... + 1566884.

Almost surely, 2^64241424 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 64241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106159872).

64241424 is an abundant number, since it is smaller than the sum of its proper divisors (148078320).

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

64241424 is a wasteful number, since it uses less digits than its factorization.

64241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 64241424 is about 8015.0747969061. The cubic root of 64241424 is about 400.5023355501.

The spelling of 64241424 in words is "sixty-four million, two hundred forty-one thousand, four hundred twenty-four".