66546900 has 216 divisors, whose sum is σ = 249359040. Its totient is φ = 15180480.

The previous prime is 66546841. The next prime is 66546919. The reversal of 66546900 is 964566.

It is a happy number.

It is a super-2 number, since 2×66546900² = 8856979799220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132049 + ... + 132551.

It is an arithmetic number, because the mean of its divisors is an integer number (1154440).

Almost surely, 2^66546900 is an apocalyptic number.

66546900 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 66546900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

66546900 is an abundant number, since it is smaller than the sum of its proper divisors (182812140).

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

66546900 is a wasteful number, since it uses less digits than its factorization.

66546900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66546900 is about 8157.6283318131. The cubic root of 66546900 is about 405.2371724675.

The spelling of 66546900 in words is "sixty-six million, five hundred forty-six thousand, nine hundred".