66579968 has 80 divisors (see below), whose sum is σ = 163843680. Its totient is φ = 26320896.

The previous prime is 66579967. The next prime is 66580013. The reversal of 66579968 is 86997566.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66579967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45878 + ... + 47306.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 2^66579968 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 66579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81921840).

66579968 is an abundant number, since it is smaller than the sum of its proper divisors (97263712).

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

66579968 is a wasteful number, since it uses less digits than its factorization.

66579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1451 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 56.

The square root of 66579968 is about 8159.6548946631. The cubic root of 66579968 is about 405.3042838523.

The spelling of 66579968 in words is "sixty-six million, five hundred seventy-nine thousand, nine hundred sixty-eight".