126848268 has 60 divisors (see below), whose sum is σ = 332803240. Its totient is φ = 42130368.

The previous prime is 126848251. The next prime is 126848269. The reversal of 126848268 is 862848621.

It is not an unprimeable number, because it can be changed into a prime (126848269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122280 + ... + 123312.

Almost surely, 2^126848268 is an apocalyptic number.

126848268 is a gapful number since it is divisible by the number (18) 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 126848268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166401620).

126848268 is an abundant number, since it is smaller than the sum of its proper divisors (205954972).

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

126848268 is a wasteful number, since it uses less digits than its factorization.

126848268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1417 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 126848268 is about 11262.6936387349. The cubic root of 126848268 is about 502.4523100208.

The spelling of 126848268 in words is "one hundred twenty-six million, eight hundred forty-eight thousand, two hundred sixty-eight".