66866848 has 48 divisors (see below), whose sum is σ = 140883624. Its totient is φ = 31129600.

The previous prime is 66866843. The next prime is 66866851. The reversal of 66866848 is 84866866.

It can be written as a sum of positive squares in 4 ways, for example, as 66781584 + 85264 = 8172^2 + 292^2 .

It is a super-2 number, since 2×66866848² = 8942350722910208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66866795 and 66866804.

It is not an unprimeable number, because it can be changed into a prime (66866843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54336 + ... + 55552.

Almost surely, 2^66866848 is an apocalyptic number.

66866848 is a gapful number since it is divisible by the number (68) 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 66866848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70441812).

66866848 is an abundant number, since it is smaller than the sum of its proper divisors (74016776).

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

66866848 is a wasteful number, since it uses less digits than its factorization.

66866848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 52.

The square root of 66866848 is about 8177.2151738841. The cubic root of 66866848 is about 405.8855752671.

The spelling of 66866848 in words is "sixty-six million, eight hundred sixty-six thousand, eight hundred forty-eight".