126076248 has 96 divisors (see below), whose sum is σ = 375148800. Its totient is φ = 38073024.

The previous prime is 126076219. The next prime is 126076261. The reversal of 126076248 is 842670621.

126076248 is a `hidden beast` number, since 1 + 2 + 607 + 6 + 2 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29461 + ... + 33467.

It is an arithmetic number, because the mean of its divisors is an integer number (3907800).

Almost surely, 2^126076248 is an apocalyptic number.

126076248 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 126076248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187574400).

126076248 is an abundant number, since it is smaller than the sum of its proper divisors (249072552).

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

126076248 is a wasteful number, since it uses less digits than its factorization.

126076248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126076248 is about 11228.3680025193. The cubic root of 126076248 is about 501.4308984861.

The spelling of 126076248 in words is "one hundred twenty-six million, seventy-six thousand, two hundred forty-eight".