64953504 has 288 divisors, whose sum is σ = 240589440. Its totient is φ = 16128000.

The previous prime is 64953503. The next prime is 64953523. The reversal of 64953504 is 40535946.

It is a happy number.

64953504 is a `hidden beast` number, since 64 + 95 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64953503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643054 + ... + 643154.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^64953504 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 64953504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

64953504 is an abundant number, since it is smaller than the sum of its proper divisors (175635936).

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

64953504 is a wasteful number, since it uses less digits than its factorization.

64953504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 64953504 is about 8059.3736729351. The cubic root of 64953504 is about 401.9766823930.

It can be divided in two parts, 6495 and 3504, that added together give a palindrome (9999).

The spelling of 64953504 in words is "sixty-four million, nine hundred fifty-three thousand, five hundred four".