66987630 has 48 divisors (see below), whose sum is σ = 176145840. Its totient is φ = 17660544.

The previous prime is 66987623. The next prime is 66987631. The reversal of 66987630 is 3678966.

66987630 is a `hidden beast` number, since 6 + 6 + 9 + 8 + 7 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66987631) 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 23 ways as a sum of consecutive naturals, for example, 3829 + ... + 12191.

It is an arithmetic number, because the mean of its divisors is an integer number (3669705).

Almost surely, 2^66987630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66987630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88072920).

66987630 is an abundant number, since it is smaller than the sum of its proper divisors (109158210).

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

66987630 is a wasteful number, since it uses less digits than its factorization.

66987630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8465 (or 8462 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66987630 is about 8184.5971189790. The cubic root of 66987630 is about 406.1298128096.

The spelling of 66987630 in words is "sixty-six million, nine hundred eighty-seven thousand, six hundred thirty".