66577632 has 96 divisors (see below), whose sum is σ = 193705344. Its totient is φ = 19852800.

The previous prime is 66577619. The next prime is 66577633. The reversal of 66577632 is 23677566.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66577633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70282 + ... + 71222.

It is an arithmetic number, because the mean of its divisors is an integer number (2017764).

Almost surely, 2^66577632 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 66577632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96852672).

66577632 is an abundant number, since it is smaller than the sum of its proper divisors (127127712).

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

66577632 is a wasteful number, since it uses less digits than its factorization.

66577632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 66577632 is about 8159.5117500988. The cubic root of 66577632 is about 405.2995436784.

The spelling of 66577632 in words is "sixty-six million, five hundred seventy-seven thousand, six hundred thirty-two".