66155200 has 84 divisors (see below), whose sum is σ = 164409120. Its totient is φ = 26199040.

The previous prime is 66155191. The next prime is 66155237. The reversal of 66155200 is 255166.

66155200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276681 + ... + 276919.

Almost surely, 2^66155200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82204560).

66155200 is an abundant number, since it is smaller than the sum of its proper divisors (98253920).

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

66155200 is a wasteful number, since it uses less digits than its factorization.

66155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 66155200 is about 8133.5846955694. The cubic root of 66155200 is about 404.4405219959.

The spelling of 66155200 in words is "sixty-six million, one hundred fifty-five thousand, two hundred".