66414216 has 64 divisors (see below), whose sum is σ = 182191680. Its totient is φ = 20007680.

The previous prime is 66414211. The next prime is 66414239. The reversal of 66414216 is 61241466.

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

It is not an unprimeable number, because it can be changed into a prime (66414211) 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, 51370 + ... + 52646.

It is an arithmetic number, because the mean of its divisors is an integer number (2846745).

Almost surely, 2^66414216 is an apocalyptic number.

66414216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66414216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91095840).

66414216 is an abundant number, since it is smaller than the sum of its proper divisors (115777464).

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

66414216 is a wasteful number, since it uses less digits than its factorization.

66414216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1490 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66414216 is about 8149.4917632942. The cubic root of 66414216 is about 404.9676669813.

The spelling of 66414216 in words is "sixty-six million, four hundred fourteen thousand, two hundred sixteen".