66827616 has 48 divisors (see below), whose sum is σ = 177557184. Its totient is φ = 22004864.

The previous prime is 66827611. The next prime is 66827659. The reversal of 66827616 is 61672866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66827611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3775 + ... + 12161.

It is an arithmetic number, because the mean of its divisors is an integer number (3699108).

Almost surely, 2^66827616 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 66827616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88778592).

66827616 is an abundant number, since it is smaller than the sum of its proper divisors (110729568).

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

66827616 is a wasteful number, since it uses less digits than its factorization.

66827616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483 (or 8475 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 66827616 is about 8174.8159612312. The cubic root of 66827616 is about 405.8061795794.

The spelling of 66827616 in words is "sixty-six million, eight hundred twenty-seven thousand, six hundred sixteen".