66846864 has 160 divisors (see below), whose sum is σ = 214113280. Its totient is φ = 17542656.

The previous prime is 66846817. The next prime is 66846869. The reversal of 66846864 is 46864866.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (66846869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236067 + ... + 236349.

It is an arithmetic number, because the mean of its divisors is an integer number (1338208).

Almost surely, 2^66846864 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 66846864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107056640).

66846864 is an abundant number, since it is smaller than the sum of its proper divisors (147266416).

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

66846864 is a wasteful number, since it uses less digits than its factorization.

66846864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 66846864 is about 8175.9931506821. The cubic root of 66846864 is about 405.8451365656.

The spelling of 66846864 in words is "sixty-six million, eight hundred forty-six thousand, eight hundred sixty-four".