126663264 has 288 divisors, whose sum is σ = 462309120. Its totient is φ = 33219072.

The previous prime is 126663263. The next prime is 126663289. The reversal of 126663264 is 462366621.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126663263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707527 + ... + 707705.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^126663264 is an apocalyptic number.

126663264 is a gapful number since it is divisible by the number (14) 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 126663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

126663264 is an abundant number, since it is smaller than the sum of its proper divisors (335645856).

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

126663264 is a wasteful number, since it uses less digits than its factorization.

126663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 126663264 is about 11254.4775089739. The cubic root of 126663264 is about 502.2079211505.

The spelling of 126663264 in words is "one hundred twenty-six million, six hundred sixty-three thousand, two hundred sixty-four".