63243264 has 176 divisors, whose sum is σ = 205158528. Its totient is φ = 16908288.

The previous prime is 63243259. The next prime is 63243277. The reversal of 63243264 is 46234236.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365482 + ... + 365654.

Almost surely, 2^63243264 is an apocalyptic number.

63243264 is a gapful number since it is divisible by the number (64) 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 63243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102579264).

63243264 is an abundant number, since it is smaller than the sum of its proper divisors (141915264).

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

63243264 is a wasteful number, since it uses less digits than its factorization.

63243264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 63243264 is about 7952.5633603260. The cubic root of 63243264 is about 398.4172118820.

Subtracting from 63243264 its reverse (46234236), we obtain a triangular number (17009028 = T₅₈₃₂).

The spelling of 63243264 in words is "sixty-three million, two hundred forty-three thousand, two hundred sixty-four".