66977560 has 64 divisors (see below), whose sum is σ = 163558080. Its totient is φ = 24537600.

The previous prime is 66977539. The next prime is 66977563. The reversal of 66977560 is 6577966.

It is a self number, because there is not a number n which added to its sum of digits gives 66977560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66977563) by changing a digit.

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, 78094 + ... + 78946.

It is an arithmetic number, because the mean of its divisors is an integer number (2555595).

Almost surely, 2^66977560 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 66977560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81779040).

66977560 is an abundant number, since it is smaller than the sum of its proper divisors (96580520).

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

66977560 is a wasteful number, since it uses less digits than its factorization.

66977560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The square root of 66977560 is about 8183.9819159135. The cubic root of 66977560 is about 406.1094611309.

The spelling of 66977560 in words is "sixty-six million, nine hundred seventy-seven thousand, five hundred sixty".