66852864 has 240 divisors, whose sum is σ = 221981760. Its totient is φ = 19906560.

The previous prime is 66852817. The next prime is 66852869. The reversal of 66852864 is 46825866.

66852864 is a `hidden beast` number, since 6 + 68 + 528 + 64 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66852869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156529 + ... + 2156559.

It is an arithmetic number, because the mean of its divisors is an integer number (924924).

Almost surely, 2^66852864 is an apocalyptic number.

66852864 is a gapful number since it is divisible by the number (64) 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 66852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110990880).

66852864 is an abundant number, since it is smaller than the sum of its proper divisors (155128896).

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

66852864 is a wasteful number, since it uses less digits than its factorization.

66852864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 66852864 is about 8176.3600703492. The cubic root of 66852864 is about 405.8572787357.

The spelling of 66852864 in words is "sixty-six million, eight hundred fifty-two thousand, eight hundred sixty-four".