64267632 has 120 divisors (see below), whose sum is σ = 211371888. Its totient is φ = 17971200.

The previous prime is 64267627. The next prime is 64267639. The reversal of 64267632 is 23676246.

It is a happy number.

64267632 is a `hidden beast` number, since 642 + 6 + 7 + 6 + 3 + 2 = 666.

64267632 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64267639) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19032 + ... + 22152.

Almost surely, 2^64267632 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 64267632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105685944).

64267632 is an abundant number, since it is smaller than the sum of its proper divisors (147104256).

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

64267632 is a wasteful number, since it uses less digits than its factorization.

64267632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3150 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 64267632 is about 8016.7095494349. The cubic root of 64267632 is about 400.5567912658.

The spelling of 64267632 in words is "sixty-four million, two hundred sixty-seven thousand, six hundred thirty-two".