66290896 has 80 divisors (see below), whose sum is σ = 154498048. Its totient is φ = 26956800.

The previous prime is 66290893. The next prime is 66290911. The reversal of 66290896 is 69809266.

It is a happy number.

66290896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66290893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211636 + ... + 211948.

Almost surely, 2^66290896 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 66290896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77249024).

66290896 is an abundant number, since it is smaller than the sum of its proper divisors (88207152).

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

66290896 is a wasteful number, since it uses less digits than its factorization.

66290896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 66290896 is about 8141.9221317819. The cubic root of 66290896 is about 404.7168594582.

The spelling of 66290896 in words is "sixty-six million, two hundred ninety thousand, eight hundred ninety-six".