66973860 has 72 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 16918848.

The previous prime is 66973849. The next prime is 66973867. The reversal of 66973860 is 6837966.

It is a super-3 number, since 3×66973860³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66973867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6372 + ... + 13211.

It is an arithmetic number, because the mean of its divisors is an integer number (2970240).

Almost surely, 2^66973860 is an apocalyptic number.

66973860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66973860 is an abundant number, since it is smaller than the sum of its proper divisors (146883420).

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

66973860 is a wasteful number, since it uses less digits than its factorization.

66973860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19617 (or 19612 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66973860 is about 8183.7558614612. The cubic root of 66973860 is about 406.1019828418.

It can be divided in two parts, 669 and 73860, that added together give a square (74529 = 273²).

The spelling of 66973860 in words is "sixty-six million, nine hundred seventy-three thousand, eight hundred sixty".