66838896 has 60 divisors (see below), whose sum is σ = 188207448. Its totient is φ = 22142592.

The previous prime is 66838879. The next prime is 66838901. The reversal of 66838896 is 69883866.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23571 + ... + 26253.

Almost surely, 2^66838896 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 66838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94103724).

66838896 is an abundant number, since it is smaller than the sum of its proper divisors (121368552).

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

66838896 is a wasteful number, since it uses less digits than its factorization.

66838896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2861 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 66838896 is about 8175.5058559089. The cubic root of 66838896 is about 405.8290106407.

The spelling of 66838896 in words is "sixty-six million, eight hundred thirty-eight thousand, eight hundred ninety-six".