126401088 has 112 divisors (see below), whose sum is σ = 369198144. Its totient is φ = 37847040.

The previous prime is 126401071. The next prime is 126401113. The reversal of 126401088 is 880104621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204556 + ... + 205172.

It is an arithmetic number, because the mean of its divisors is an integer number (3296412).

Almost surely, 2^126401088 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 126401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184599072).

126401088 is an abundant number, since it is smaller than the sum of its proper divisors (242797056).

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

126401088 is a wasteful number, since it uses less digits than its factorization.

126401088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 126401088 is about 11242.8238445686. The cubic root of 126401088 is about 501.8611807496.

The spelling of 126401088 in words is "one hundred twenty-six million, four hundred one thousand, eighty-eight".