66889200 has 120 divisors (see below), whose sum is σ = 244908928. Its totient is φ = 15287040.

The previous prime is 66889189. The next prime is 66889201. The reversal of 66889200 is 298866.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66889201) 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, 4419 + ... + 12381.

Almost surely, 2^66889200 is an apocalyptic number.

66889200 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 66889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122454464).

66889200 is an abundant number, since it is smaller than the sum of its proper divisors (178019728).

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

66889200 is a wasteful number, since it uses less digits than its factorization.

66889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 66889200 is about 8178.5817841482. The cubic root of 66889200 is about 405.9307961997.

The spelling of 66889200 in words is "sixty-six million, eight hundred eighty-nine thousand, two hundred".