66948500 has 48 divisors (see below), whose sum is σ = 147066192. Its totient is φ = 26624000.

The previous prime is 66948473. The next prime is 66948521. The reversal of 66948500 is 584966.

It can be written as a sum of positive squares in 8 ways, for example, as 9461776 + 57486724 = 3076^2 + 7582^2 .

It is a congruent number.

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, 128240 + ... + 128760.

It is an arithmetic number, because the mean of its divisors is an integer number (3063879).

Almost surely, 2^66948500 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 66948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73533096).

66948500 is an abundant number, since it is smaller than the sum of its proper divisors (80117692).

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

66948500 is a wasteful number, since it uses less digits than its factorization.

66948500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 66948500 is about 8182.2063039256. The cubic root of 66948500 is about 406.0507188290.

The spelling of 66948500 in words is "sixty-six million, nine hundred forty-eight thousand, five hundred".