66007368 has 192 divisors, whose sum is σ = 220521600. Its totient is φ = 17418240.

The previous prime is 66007367. The next prime is 66007399. The reversal of 66007368 is 86370066.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66007367) 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, 584080 + ... + 584192.

It is an arithmetic number, because the mean of its divisors is an integer number (1148550).

Almost surely, 2^66007368 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 66007368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110260800).

66007368 is an abundant number, since it is smaller than the sum of its proper divisors (154514232).

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

66007368 is a wasteful number, since it uses less digits than its factorization.

66007368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66007368 is about 8124.4918610335. The cubic root of 66007368 is about 404.1390398140.

The spelling of 66007368 in words is "sixty-six million, seven thousand, three hundred sixty-eight".