126011264 has 64 divisors (see below), whose sum is σ = 263466000. Its totient is φ = 59953152.

The previous prime is 126011261. The next prime is 126011269. The reversal of 126011264 is 462110621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126011261) 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 7 ways as a sum of consecutive naturals, for example, 307892 + ... + 308300.

Almost surely, 2^126011264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131733000).

126011264 is an abundant number, since it is smaller than the sum of its proper divisors (137454736).

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

126011264 is an equidigital number, since it uses as much as digits as its factorization.

126011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 126011264 is about 11225.4738875470. The cubic root of 126011264 is about 501.3447321486.

Adding to 126011264 its reverse (462110621), we get a palindrome (588121885).

The spelling of 126011264 in words is "one hundred twenty-six million, eleven thousand, two hundred sixty-four".