66863328 has 192 divisors, whose sum is σ = 214824960. Its totient is φ = 17805312.

The previous prime is 66863267. The next prime is 66863339. The reversal of 66863328 is 82336866.

It is a Cunningham number, because it is equal to 8177²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66863328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915900 + ... + 915972.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 2^66863328 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 66863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

66863328 is an abundant number, since it is smaller than the sum of its proper divisors (147961632).

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

66863328 is a wasteful number, since it uses less digits than its factorization.

66863328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 66863328 is about 8176.9999388529. Note that the first 4 decimals coincide. The cubic root of 66863328 is about 405.8784529420.

The spelling of 66863328 in words is "sixty-six million, eight hundred sixty-three thousand, three hundred twenty-eight".