126266448 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 32417280.

The previous prime is 126266443. The next prime is 126266453. The reversal of 126266448 is 844662621.

It is an interprime number because it is at equal distance from previous prime (126266443) and next prime (126266453).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126266443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469258 + ... + 469526.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2^126266448 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 126266448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

126266448 is an abundant number, since it is smaller than the sum of its proper divisors (285135792).

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

126266448 is a wasteful number, since it uses less digits than its factorization.

126266448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 126266448 is about 11236.8344296781. The cubic root of 126266448 is about 501.6829264949.

The spelling of 126266448 in words is "one hundred twenty-six million, two hundred sixty-six thousand, four hundred forty-eight".