64182132 has 72 divisors (see below), whose sum is σ = 192302656. Its totient is φ = 18335808.

The previous prime is 64182127. The next prime is 64182137. The reversal of 64182132 is 23128146.

64182132 is a `hidden beast` number, since 641 + 8 + 2 + 13 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64182127) and next prime (64182137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64182096 and 64182105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64182137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2088 + ... + 11520.

Almost surely, 2^64182132 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 64182132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96151328).

64182132 is an abundant number, since it is smaller than the sum of its proper divisors (128120524).

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

64182132 is a wasteful number, since it uses less digits than its factorization.

64182132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9459 (or 9445 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 64182132 is about 8011.3751628544. The cubic root of 64182132 is about 400.3790822947.

The spelling of 64182132 in words is "sixty-four million, one hundred eighty-two thousand, one hundred thirty-two".