66439296 has 288 divisors, whose sum is σ = 244885680. Its totient is φ = 17095680.

The previous prime is 66439291. The next prime is 66439297. The reversal of 66439296 is 69293466.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (66439291) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620875 + ... + 620981.

Almost surely, 2^66439296 is an apocalyptic number.

66439296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66439296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122442840).

66439296 is an abundant number, since it is smaller than the sum of its proper divisors (178446384).

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

66439296 is a wasteful number, since it uses less digits than its factorization.

66439296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 66439296 is about 8151.0303643159. The cubic root of 66439296 is about 405.0186365452.

The spelling of 66439296 in words is "sixty-six million, four hundred thirty-nine thousand, two hundred ninety-six".