66687948 has 144 divisors (see below), whose sum is σ = 193240320. Its totient is φ = 20015424.

The previous prime is 66687947. The next prime is 66687953. The reversal of 66687948 is 84978666.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 66687894 and 66687903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66687941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424686 + ... + 424842.

Almost surely, 2^66687948 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 66687948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96620160).

66687948 is an abundant number, since it is smaller than the sum of its proper divisors (126552372).

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

66687948 is a wasteful number, since it uses less digits than its factorization.

66687948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

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

The square root of 66687948 is about 8166.2689154840. The cubic root of 66687948 is about 405.5232742374.

The spelling of 66687948 in words is "sixty-six million, six hundred eighty-seven thousand, nine hundred forty-eight".