66012768 has 144 divisors (see below), whose sum is σ = 202260240. Its totient is φ = 20348928.

The previous prime is 66012767. The next prime is 66012809. The reversal of 66012768 is 86721066.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66012767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474843 + ... + 474981.

It is an arithmetic number, because the mean of its divisors is an integer number (1404585).

Almost surely, 2^66012768 is an apocalyptic number.

66012768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66012768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101130120).

66012768 is an abundant number, since it is smaller than the sum of its proper divisors (136247472).

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

66012768 is a wasteful number, since it uses less digits than its factorization.

66012768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 66012768 is about 8124.8241827131. The cubic root of 66012768 is about 404.1500602570.

The spelling of 66012768 in words is "sixty-six million, twelve thousand, seven hundred sixty-eight".