66320032 has 36 divisors (see below), whose sum is σ = 137825226. Its totient is φ = 31409280.

The previous prime is 66320027. The next prime is 66320053. The reversal of 66320032 is 23002366.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 9709456 = 7524^2 + 3116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66319985 and 66320012.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8682 + ... + 14422.

Almost surely, 2^66320032 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 66320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68912613).

66320032 is an abundant number, since it is smaller than the sum of its proper divisors (71505194).

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

66320032 is a wasteful number, since it uses less digits than its factorization.

66320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 66320032 is about 8143.7111933074. The cubic root of 66320032 is about 404.7761441362.

Adding to 66320032 its reverse (23002366), we get a palindrome (89322398).

It can be divided in two parts, 66 and 320032, that multiplied together give a palindrome (21122112).

The spelling of 66320032 in words is "sixty-six million, three hundred twenty thousand, thirty-two".