63267264 has 224 divisors, whose sum is σ = 204825600. Its totient is φ = 19077120.

The previous prime is 63267263. The next prime is 63267271. The reversal of 63267264 is 46276236.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (72576) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63267263) 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 31 ways as a sum of consecutive naturals, for example, 1346089 + ... + 1346135.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 2^63267264 is an apocalyptic number.

63267264 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 63267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

63267264 is an abundant number, since it is smaller than the sum of its proper divisors (141558336).

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

63267264 is a wasteful number, since it uses less digits than its factorization.

63267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 63267264 is about 7954.0721646211. The cubic root of 63267264 is about 398.4676035663.

It can be divided in two parts, 632 and 67264, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 63267264 in words is "sixty-three million, two hundred sixty-seven thousand, two hundred sixty-four".