66411312 has 80 divisors (see below), whose sum is σ = 189833088. Its totient is φ = 19837440.

The previous prime is 66411277. The next prime is 66411353. The reversal of 66411312 is 21311466.

It is a super-2 number, since 2×66411312² = 8820924723122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37683 + ... + 39405.

Almost surely, 2^66411312 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 66411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94916544).

66411312 is an abundant number, since it is smaller than the sum of its proper divisors (123421776).

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

66411312 is a wasteful number, since it uses less digits than its factorization.

66411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1812 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 66411312 is about 8149.3135907265. The cubic root of 66411312 is about 404.9617644135.

Adding to 66411312 its reverse (21311466), we get a palindrome (87722778).

The spelling of 66411312 in words is "sixty-six million, four hundred eleven thousand, three hundred twelve".