66894288 has 80 divisors (see below), whose sum is σ = 186446400. Its totient is φ = 20597760.

The previous prime is 66894251. The next prime is 66894319. The reversal of 66894288 is 88249866.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66894288.

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, 36498 + ... + 38286.

It is an arithmetic number, because the mean of its divisors is an integer number (2330580).

Almost surely, 2^66894288 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 66894288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93223200).

66894288 is an abundant number, since it is smaller than the sum of its proper divisors (119552112).

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

66894288 is a wasteful number, since it uses less digits than its factorization.

66894288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1854 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 66894288 is about 8178.8928346079. The cubic root of 66894288 is about 405.9410884618.

The spelling of 66894288 in words is "sixty-six million, eight hundred ninety-four thousand, two hundred eighty-eight".