63149200 has 60 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 24714880.

The previous prime is 63149189. The next prime is 63149209. The reversal of 63149200 is 294136.

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

It is not an unprimeable number, because it can be changed into a prime (63149209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17121 + ... + 20479.

It is an arithmetic number, because the mean of its divisors is an integer number (2583168).

Almost surely, 2^63149200 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 63149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

63149200 is an abundant number, since it is smaller than the sum of its proper divisors (91840880).

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

63149200 is a wasteful number, since it uses less digits than its factorization.

63149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 63149200 is about 7946.6470916985. The cubic root of 63149200 is about 398.2195870823.

The spelling of 63149200 in words is "sixty-three million, one hundred forty-nine thousand, two hundred".