64884960 has 288 divisors, whose sum is σ = 260874432. Its totient is φ = 14376960.

The previous prime is 64884947. The next prime is 64884997. The reversal of 64884960 is 6948846.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413202 + ... + 413358.

It is an arithmetic number, because the mean of its divisors is an integer number (905814).

Almost surely, 2^64884960 is an apocalyptic number.

64884960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130437216).

64884960 is an abundant number, since it is smaller than the sum of its proper divisors (195989472).

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

64884960 is a wasteful number, since it uses less digits than its factorization.

64884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 64884960 is about 8055.1201108363. The cubic root of 64884960 is about 401.8352335834.

The spelling of 64884960 in words is "sixty-four million, eight hundred eighty-four thousand, nine hundred sixty".