126228264 has 48 divisors (see below), whose sum is σ = 335244000. Its totient is φ = 39598848.

The previous prime is 126228257. The next prime is 126228293. The reversal of 126228264 is 462822621.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2164 + ... + 16035.

It is an arithmetic number, because the mean of its divisors is an integer number (6984250).

Almost surely, 2^126228264 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 126228264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167622000).

126228264 is an abundant number, since it is smaller than the sum of its proper divisors (209015736).

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

126228264 is a wasteful number, since it uses less digits than its factorization.

126228264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18242 (or 18221 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 126228264 is about 11235.1352461820. The cubic root of 126228264 is about 501.6323503983.

The spelling of 126228264 in words is "one hundred twenty-six million, two hundred twenty-eight thousand, two hundred sixty-four".