66231000 has 256 divisors, whose sum is σ = 251596800. Its totient is φ = 15984000.

The previous prime is 66230971. The next prime is 66231019. The reversal of 66231000 is 13266.

It is a happy number.

66231000 is a `hidden beast` number, since 662 + 3 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×66231000² = 8773090722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296889 + ... + 297111.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^66231000 is an apocalyptic number.

66231000 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 66231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

66231000 is an abundant number, since it is smaller than the sum of its proper divisors (185365800).

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

66231000 is a wasteful number, since it uses less digits than its factorization.

66231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66231000 is about 8138.2430536326. The cubic root of 66231000 is about 404.5949310740.

Adding to 66231000 its reverse (13266), we get a palindrome (66244266).

The spelling of 66231000 in words is "sixty-six million, two hundred thirty-one thousand".