66066624 has 224 divisors, whose sum is σ = 222747840. Its totient is φ = 19021824.

The previous prime is 66066617. The next prime is 66066643. The reversal of 66066624 is 42666066.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381802 + ... + 381974.

It is an arithmetic number, because the mean of its divisors is an integer number (994410).

Almost surely, 2^66066624 is an apocalyptic number.

66066624 is a gapful number since it is divisible by the number (64) 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 66066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111373920).

66066624 is an abundant number, since it is smaller than the sum of its proper divisors (156681216).

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

66066624 is a wasteful number, since it uses less digits than its factorization.

66066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 66066624 is about 8128.1377941076. The cubic root of 66066624 is about 404.2599379357.

The spelling of 66066624 in words is "sixty-six million, sixty-six thousand, six hundred twenty-four".