66115368 has 72 divisors (see below), whose sum is σ = 196846650. Its totient is φ = 20032320.

The previous prime is 66115351. The next prime is 66115403. The reversal of 66115368 is 86351166.

It is a happy number.

66115368 is a `hidden beast` number, since 6 + 611 + 5 + 36 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65901924 + 213444 = 8118^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4918 + ... + 12506.

Almost surely, 2^66115368 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 66115368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98423325).

66115368 is an abundant number, since it is smaller than the sum of its proper divisors (130731282).

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

66115368 is a wasteful number, since it uses less digits than its factorization.

66115368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7605 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 66115368 is about 8131.1357140316. The cubic root of 66115368 is about 404.3593345802.

The spelling of 66115368 in words is "sixty-six million, one hundred fifteen thousand, three hundred sixty-eight".