66586368 has 72 divisors (see below), whose sum is σ = 178424848. Its totient is φ = 22044672.

The previous prime is 66586367. The next prime is 66586423. The reversal of 66586368 is 86368566.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66586361) 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, 212580 + ... + 212892.

Almost surely, 2^66586368 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 66586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89212424).

66586368 is an abundant number, since it is smaller than the sum of its proper divisors (111838480).

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

66586368 is a wasteful number, since it uses less digits than its factorization.

66586368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 66586368 is about 8160.0470586878. The cubic root of 66586368 is about 405.3172700621.

The spelling of 66586368 in words is "sixty-six million, five hundred eighty-six thousand, three hundred sixty-eight".