126087456 has 96 divisors (see below), whose sum is σ = 364089600. Its totient is φ = 37889280.

The previous prime is 126087433. The next prime is 126087463. The reversal of 126087456 is 654780621.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146355 + ... + 147213.

It is an arithmetic number, because the mean of its divisors is an integer number (3792600).

Almost surely, 2^126087456 is an apocalyptic number.

126087456 is a gapful number since it is divisible by the number (16) 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 126087456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182044800).

126087456 is an abundant number, since it is smaller than the sum of its proper divisors (238002144).

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

126087456 is a wasteful number, since it uses less digits than its factorization.

126087456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 126087456 is about 11228.8670844391. The cubic root of 126087456 is about 501.4457568782.

The spelling of 126087456 in words is "one hundred twenty-six million, eighty-seven thousand, four hundred fifty-six".