63493200 has 120 divisors (see below), whose sum is σ = 226027200. Its totient is φ = 16928640.

The previous prime is 63493163. The next prime is 63493201. The reversal of 63493200 is 239436.

63493200 is a `hidden beast` number, since 634 + 9 + 3 + 20 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63493201) 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 23 ways as a sum of consecutive naturals, for example, 7861 + ... + 13739.

It is an arithmetic number, because the mean of its divisors is an integer number (1883560).

Almost surely, 2^63493200 is an apocalyptic number.

63493200 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 63493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113013600).

63493200 is an abundant number, since it is smaller than the sum of its proper divisors (162534000).

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

63493200 is a wasteful number, since it uses less digits than its factorization.

63493200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 63493200 is about 7968.2620438838. The cubic root of 63493200 is about 398.9413673808.

The spelling of 63493200 in words is "sixty-three million, four hundred ninety-three thousand, two hundred".