66190368 has 96 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 21288960.

The previous prime is 66190361. The next prime is 66190381. The reversal of 66190368 is 86309166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66190361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521121 + ... + 521247.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^66190368 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 66190368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

66190368 is an abundant number, since it is smaller than the sum of its proper divisors (113798112).

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

66190368 is a wasteful number, since it uses less digits than its factorization.

66190368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 66190368 is about 8135.7463087292. The cubic root of 66190368 is about 404.5121759483.

The spelling of 66190368 in words is "sixty-six million, one hundred ninety thousand, three hundred sixty-eight".