66601296 has 60 divisors (see below), whose sum is σ = 188086548. Its totient is φ = 21998592.

The previous prime is 66601279. The next prime is 66601351. The reversal of 66601296 is 69210666.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10890000 + 55711296 = 3300^2 + 7464^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 66601296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14226 + ... + 18318.

Almost surely, 2^66601296 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 66601296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94043274).

66601296 is an abundant number, since it is smaller than the sum of its proper divisors (121485252).

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

66601296 is a wasteful number, since it uses less digits than its factorization.

66601296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 66601296 is about 8160.9617080342. The cubic root of 66601296 is about 405.3475571628.

The spelling of 66601296 in words is "sixty-six million, six hundred one thousand, two hundred ninety-six".