66566016 has 256 divisors, whose sum is σ = 229132800. Its totient is φ = 18800640.

The previous prime is 66566011. The next prime is 66566077. The reversal of 66566016 is 61066566.

It is a super-2 number, since 2×66566016² = 8862068972224512, which contains 22 as substring.

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 (66566011) 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, 646221 + ... + 646323.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^66566016 is an apocalyptic number.

66566016 is a gapful number since it is divisible by the number (66) 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 66566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

66566016 is an abundant number, since it is smaller than the sum of its proper divisors (162566784).

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

66566016 is a wasteful number, since it uses less digits than its factorization.

66566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66566016 is about 8158.7999117517. The cubic root of 66566016 is about 405.2759710300.

The spelling of 66566016 in words is "sixty-six million, five hundred sixty-six thousand, sixteen".