66315600 has 270 divisors, whose sum is σ = 251484090. Its totient is φ = 16174080.

The previous prime is 66315583. The next prime is 66315607. The reversal of 66315600 is 651366.

It can be written as a sum of positive squares in 9 ways, for example, as 35712576 + 30603024 = 5976^2 + 5532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66315607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 608346 + ... + 608454.

Almost surely, 2^66315600 is an apocalyptic number.

66315600 is a gapful number since it is divisible by the number (60) 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 66315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125742045).

66315600 is an abundant number, since it is smaller than the sum of its proper divisors (185168490).

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

66315600 is a wasteful number, since it uses less digits than its factorization.

66315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 66315600 is about 8143.4390769502. The cubic root of 66315600 is about 404.7671272133.

Adding to 66315600 its reverse (651366), we get a palindrome (66966966).

The spelling of 66315600 in words is "sixty-six million, three hundred fifteen thousand, six hundred".