64053024 has 48 divisors (see below), whose sum is σ = 192161088. Its totient is φ = 18300672.

The previous prime is 64053013. The next prime is 64053049. The reversal of 64053024 is 42035046.

64053024 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 junction number, because it is equal to n+sod(n) for n = 64052985 and 64053003.

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 7 ways as a sum of consecutive naturals, for example, 46987 + ... + 48330.

It is an arithmetic number, because the mean of its divisors is an integer number (4003356).

Almost surely, 2^64053024 is an apocalyptic number.

It is an amenable number.

64053024 is an abundant number, since it is smaller than the sum of its proper divisors (128108064).

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

64053024 is a wasteful number, since it uses less digits than its factorization.

64053024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95337 (or 95329 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 64053024 is about 8003.3133138719. The cubic root of 64053024 is about 400.1104361735.

The spelling of 64053024 in words is "sixty-four million, fifty-three thousand, twenty-four".