63045360 has 180 divisors, whose sum is σ = 246432888. Its totient is φ = 14402304.

The previous prime is 63045343. The next prime is 63045361. The reversal of 63045360 is 6354036.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63045361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34387 + ... + 36173.

Almost surely, 2^63045360 is an apocalyptic number.

63045360 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 63045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123216444).

63045360 is an abundant number, since it is smaller than the sum of its proper divisors (183387528).

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

63045360 is a wasteful number, since it uses less digits than its factorization.

63045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 63045360 is about 7940.1108304607. The cubic root of 63045360 is about 398.0011952524.

Adding to 63045360 its reverse (6354036), we get a palindrome (69399396).

It can be divided in two parts, 6304 and 5360, that added together give a square (11664 = 108²).

The spelling of 63045360 in words is "sixty-three million, forty-five thousand, three hundred sixty".