66936848 has 80 divisors (see below), whose sum is σ = 153234240. Its totient is φ = 27993600.

The previous prime is 66936833. The next prime is 66936899. The reversal of 66936848 is 84863966.

It is a junction number, because it is equal to n+sod(n) for n = 66936796 and 66936805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123458 + ... + 123998.

It is an arithmetic number, because the mean of its divisors is an integer number (1915428).

Almost surely, 2^66936848 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 66936848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76617120).

66936848 is an abundant number, since it is smaller than the sum of its proper divisors (86297392).

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

66936848 is a wasteful number, since it uses less digits than its factorization.

66936848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The square root of 66936848 is about 8181.4942400518. The cubic root of 66936848 is about 406.0271605342.

The spelling of 66936848 in words is "sixty-six million, nine hundred thirty-six thousand, eight hundred forty-eight".