66305616 has 80 divisors (see below), whose sum is σ = 187696320. Its totient is φ = 20044800.

The previous prime is 66305609. The next prime is 66305633. The reversal of 66305616 is 61650366.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35916 + ... + 37716.

It is an arithmetic number, because the mean of its divisors is an integer number (2346204).

Almost surely, 2^66305616 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 66305616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93848160).

66305616 is an abundant number, since it is smaller than the sum of its proper divisors (121390704).

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

66305616 is a wasteful number, since it uses less digits than its factorization.

66305616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 66305616 is about 8142.8260450534. The cubic root of 66305616 is about 404.7468132509.

It can be divided in two parts, 6630 and 5616, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 66305616 in words is "sixty-six million, three hundred five thousand, six hundred sixteen".