63225120 has 192 divisors, whose sum is σ = 235339776. Its totient is φ = 13962240.

The previous prime is 63225101. The next prime is 63225121. The reversal of 63225120 is 2152236.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (63225121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103857 + ... + 104463.

It is an arithmetic number, because the mean of its divisors is an integer number (1225728).

Almost surely, 2^63225120 is an apocalyptic number.

63225120 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 63225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117669888).

63225120 is an abundant number, since it is smaller than the sum of its proper divisors (172114656).

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

63225120 is a wasteful number, since it uses less digits than its factorization.

63225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 63225120 is about 7951.4225142423. The cubic root of 63225120 is about 398.3791073059.

Adding to 63225120 its reverse (2152236), we get a palindrome (65377356).

It can be divided in two parts, 632 and 25120, that added together give a palindrome (25752).

The spelling of 63225120 in words is "sixty-three million, two hundred twenty-five thousand, one hundred twenty".