66802320 has 300 divisors, whose sum is σ = 255353076. Its totient is φ = 16174080.

The previous prime is 66802297. The next prime is 66802331. The reversal of 66802320 is 2320866.

It can be written as a sum of positive squares in 6 ways, for example, as 31945104 + 34857216 = 5652^2 + 5904^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1095090 + ... + 1095150.

Almost surely, 2^66802320 is an apocalyptic number.

66802320 is a gapful number since it is divisible by the number (60) 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 66802320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127676538).

66802320 is an abundant number, since it is smaller than the sum of its proper divisors (188550756).

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

66802320 is a wasteful number, since it uses less digits than its factorization.

66802320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66802320 is about 8173.2686239962. The cubic root of 66802320 is about 405.7549703677.

The spelling of 66802320 in words is "sixty-six million, eight hundred two thousand, three hundred twenty".