66825948 has 48 divisors (see below), whose sum is σ = 185955840. Its totient is φ = 18262464.

The previous prime is 66825931. The next prime is 66825953. The reversal of 66825948 is 84952866.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66825897 and 66825906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15363 + ... + 19226.

It is an arithmetic number, because the mean of its divisors is an integer number (3874080).

Almost surely, 2^66825948 is an apocalyptic number.

It is an amenable number.

66825948 is an abundant number, since it is smaller than the sum of its proper divisors (119129892).

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

66825948 is a wasteful number, since it uses less digits than its factorization.

66825948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34626 (or 34624 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 66825948 is about 8174.7139399492. The cubic root of 66825948 is about 405.8028032789.

The spelling of 66825948 in words is "sixty-six million, eight hundred twenty-five thousand, nine hundred forty-eight".