126805248 has 108 divisors (see below), whose sum is σ = 373708608. Its totient is φ = 41333760.

The previous prime is 126805247. The next prime is 126805267. The reversal of 126805248 is 842508621.

126805248 is a `hidden beast` number, since 126 + 8 + 0 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126805247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107703 + ... + 108873.

Almost surely, 2^126805248 is an apocalyptic number.

126805248 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 126805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186854304).

126805248 is an abundant number, since it is smaller than the sum of its proper divisors (246903360).

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

126805248 is a wasteful number, since it uses less digits than its factorization.

126805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 126805248 is about 11260.7836317017. The cubic root of 126805248 is about 502.3955021437.

The spelling of 126805248 in words is "one hundred twenty-six million, eight hundred five thousand, two hundred forty-eight".