126886248 has 24 divisors (see below), whose sum is σ = 343650450. Its totient is φ = 42295392.

The previous prime is 126886247. The next prime is 126886261. The reversal of 126886248 is 842688621.

126886248 is a `hidden beast` number, since 12 + 6 + 8 + 8 + 624 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103673124 + 23213124 = 10182^2 + 4818^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×126886248² = 32200239863035008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126886241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 881083 + ... + 881226.

Almost surely, 2^126886248 is an apocalyptic number.

126886248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126886248 is an abundant number, since it is smaller than the sum of its proper divisors (216764202).

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

126886248 is a wasteful number, since it uses less digits than its factorization.

126886248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762321 (or 1762314 counting only the distinct ones).

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

The square root of 126886248 is about 11264.3796100806. The cubic root of 126886248 is about 502.5024519075.

The spelling of 126886248 in words is "one hundred twenty-six million, eight hundred eighty-six thousand, two hundred forty-eight".