64861632 has 168 divisors, whose sum is σ = 210403440. Its totient is φ = 18923520.

The previous prime is 64861627. The next prime is 64861651. The reversal of 64861632 is 23616846.

64861632 is a `hidden beast` number, since 6 + 4 + 8 + 616 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183568 + ... + 183920.

Almost surely, 2^64861632 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 64861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105201720).

64861632 is an abundant number, since it is smaller than the sum of its proper divisors (145541808).

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

64861632 is a wasteful number, since it uses less digits than its factorization.

64861632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 64861632 is about 8053.6719575607. The cubic root of 64861632 is about 401.7870707222.

It can be divided in two parts, 6486 and 1632, that added together give a palindrome (8118).

The spelling of 64861632 in words is "sixty-four million, eight hundred sixty-one thousand, six hundred thirty-two".