66903200 has 144 divisors (see below), whose sum is σ = 201237120. Its totient is φ = 21150720.

The previous prime is 66903197. The next prime is 66903209. The reversal of 66903200 is 230966.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 66903200.

It is not an unprimeable number, because it can be changed into a prime (66903209) 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, 72341 + ... + 73259.

It is an arithmetic number, because the mean of its divisors is an integer number (1397480).

Almost surely, 2^66903200 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 66903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100618560).

66903200 is an abundant number, since it is smaller than the sum of its proper divisors (134333920).

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

66903200 is a wasteful number, since it uses less digits than its factorization.

66903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 66903200 is about 8179.4376334807. The cubic root of 66903200 is about 405.9591148456.

The spelling of 66903200 in words is "sixty-six million, nine hundred three thousand, two hundred".