65941632 has 48 divisors (see below), whose sum is σ = 189757230. Its totient is φ = 21980160.

The previous prime is 65941627. The next prime is 65941633. The reversal of 65941632 is 23614956.

It is a happy number.

65941632 is a `hidden beast` number, since 6 + 594 + 1 + 63 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 3594816 = 7896^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (65941633) 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 5 ways as a sum of consecutive naturals, for example, 27469 + ... + 29772.

Almost surely, 2^65941632 is an apocalyptic number.

It is an amenable number.

65941632 is an abundant number, since it is smaller than the sum of its proper divisors (123815598).

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

65941632 is a wasteful number, since it uses less digits than its factorization.

65941632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57261 (or 57246 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 65941632 is about 8120.4453079865. The cubic root of 65941632 is about 404.0048360693.

The spelling of 65941632 in words is "sixty-five million, nine hundred forty-one thousand, six hundred thirty-two".