66151800 has 288 divisors, whose sum is σ = 262014480. Its totient is φ = 14745600.

The previous prime is 66151783. The next prime is 66151801. The reversal of 66151800 is 815166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66151801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257272 + ... + 257528.

Almost surely, 2^66151800 is an apocalyptic number.

66151800 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 66151800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131007240).

66151800 is an abundant number, since it is smaller than the sum of its proper divisors (195862680).

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

66151800 is a wasteful number, since it uses less digits than its factorization.

66151800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 66151800 is about 8133.3756829499. The cubic root of 66151800 is about 404.4335932317.

Adding to 66151800 its reverse (815166), we get a palindrome (66966966).

The spelling of 66151800 in words is "sixty-six million, one hundred fifty-one thousand, eight hundred".