66038112 has 192 divisors, whose sum is σ = 224985600. Its totient is φ = 18455040.

The previous prime is 66038107. The next prime is 66038113. The reversal of 66038112 is 21183066.

It is a super-2 number, since 2×66038112² = 8722064473049088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66038113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368839 + ... + 369017.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^66038112 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 66038112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

66038112 is an abundant number, since it is smaller than the sum of its proper divisors (158947488).

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

66038112 is a wasteful number, since it uses less digits than its factorization.

66038112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66038112 is about 8126.3836975619. The cubic root of 66038112 is about 404.2017748414.

The spelling of 66038112 in words is "sixty-six million, thirty-eight thousand, one hundred twelve".