32642766 has 48 divisors (see below), whose sum is σ = 76658400. Its totient is φ = 9979200.

The previous prime is 32642761. The next prime is 32642791. The reversal of 32642766 is 66724623.

It is a happy number.

32642766 is a `hidden beast` number, since 3 + 2 + 642 + 7 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32642766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32642761) 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, 46216 + ... + 46916.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^32642766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32642766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329200).

32642766 is an abundant number, since it is smaller than the sum of its proper divisors (44015634).

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

32642766 is a wasteful number, since it uses less digits than its factorization.

32642766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 918 counting only the distinct ones).

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

The square root of 32642766 is about 5713.3848111255. The cubic root of 32642766 is about 319.5918167937.

The spelling of 32642766 in words is "thirty-two million, six hundred forty-two thousand, seven hundred sixty-six".