66861300 has 72 divisors (see below), whose sum is σ = 211048992. Its totient is φ = 16208000.

The previous prime is 66861271. The next prime is 66861313. The reversal of 66861300 is 316866.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6831 + ... + 13430.

It is an arithmetic number, because the mean of its divisors is an integer number (2931236).

Almost surely, 2^66861300 is an apocalyptic number.

66861300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66861300 is an abundant number, since it is smaller than the sum of its proper divisors (144187692).

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

66861300 is a wasteful number, since it uses less digits than its factorization.

66861300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20289 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66861300 is about 8176.8759315523. The cubic root of 66861300 is about 405.8743493980.

It can be divided in two parts, 66861 and 300, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 66861300 in words is "sixty-six million, eight hundred sixty-one thousand, three hundred".