66815232 has 108 divisors (see below), whose sum is σ = 195733440. Its totient is φ = 20218880.

The previous prime is 66815227. The next prime is 66815239. The reversal of 66815232 is 23251866.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 66815193 and 66815202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66815239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92569 + ... + 93287.

Almost surely, 2^66815232 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 66815232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

66815232 is an abundant number, since it is smaller than the sum of its proper divisors (128918208).

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

66815232 is a wasteful number, since it uses less digits than its factorization.

66815232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 735 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 66815232 is about 8174.0584778921. The cubic root of 66815232 is about 405.7811110300.

The spelling of 66815232 in words is "sixty-six million, eight hundred fifteen thousand, two hundred thirty-two".