66993192 has 144 divisors (see below), whose sum is σ = 223678260. Its totient is φ = 17998848.

The previous prime is 66993187. The next prime is 66993193. The reversal of 66993192 is 29139966.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65707236 + 1285956 = 8106^2 + 1134^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66993193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59418 + ... + 60534.

Almost surely, 2^66993192 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 66993192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111839130).

66993192 is an abundant number, since it is smaller than the sum of its proper divisors (156685068).

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

66993192 is a wasteful number, since it uses less digits than its factorization.

66993192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1146 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 66993192 is about 8184.9368965191. The cubic root of 66993192 is about 406.1410528525.

The spelling of 66993192 in words is "sixty-six million, nine hundred ninety-three thousand, one hundred ninety-two".