66849264 has 60 divisors (see below), whose sum is σ = 188845800. Its totient is φ = 22073472.

The previous prime is 66849259. The next prime is 66849313. The reversal of 66849264 is 46294866.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13567 + ... + 17825.

It is an arithmetic number, because the mean of its divisors is an integer number (3147430).

Almost surely, 2^66849264 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 66849264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94422900).

66849264 is an abundant number, since it is smaller than the sum of its proper divisors (121996536).

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

66849264 is a wasteful number, since it uses less digits than its factorization.

66849264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4373 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66849264 is about 8176.1399205248. The cubic root of 66849264 is about 405.8499935208.

The spelling of 66849264 in words is "sixty-six million, eight hundred forty-nine thousand, two hundred sixty-four".