66976848 has 80 divisors (see below), whose sum is σ = 193469760. Its totient is φ = 22184064.

The previous prime is 66976829. The next prime is 66976849. The reversal of 66976848 is 84867966.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66976794 and 66976803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66976849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84711 + ... + 85497.

It is an arithmetic number, because the mean of its divisors is an integer number (2418372).

Almost surely, 2^66976848 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 66976848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96734880).

66976848 is an abundant number, since it is smaller than the sum of its proper divisors (126492912).

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

66976848 is a wasteful number, since it uses less digits than its factorization.

66976848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 66976848 is about 8183.9384161906. The cubic root of 66976848 is about 406.1080220870.

The spelling of 66976848 in words is "sixty-six million, nine hundred seventy-six thousand, eight hundred forty-eight".