64022688 has 144 divisors (see below), whose sum is σ = 192471552. Its totient is φ = 20160000.

The previous prime is 64022687. The next prime is 64022737. The reversal of 64022688 is 88622046.

64022688 is a `hidden beast` number, since 640 + 2 + 2 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (64022681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633838 + ... + 633938.

It is an arithmetic number, because the mean of its divisors is an integer number (1336608).

Almost surely, 2^64022688 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 64022688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235776).

64022688 is an abundant number, since it is smaller than the sum of its proper divisors (128448864).

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

64022688 is a wasteful number, since it uses less digits than its factorization.

64022688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64022688 is about 8001.4178743520. The cubic root of 64022688 is about 400.0472610824.

The spelling of 64022688 in words is "sixty-four million, twenty-two thousand, six hundred eighty-eight".