126086688 has 288 divisors, whose sum is σ = 468913536. Its totient is φ = 31186944.

The previous prime is 126086687. The next prime is 126086771. The reversal of 126086688 is 886680621.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (126086687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 445395 + ... + 445677.

It is an arithmetic number, because the mean of its divisors is an integer number (1628172).

Almost surely, 2^126086688 is an apocalyptic number.

126086688 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 126086688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234456768).

126086688 is an abundant number, since it is smaller than the sum of its proper divisors (342826848).

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

126086688 is a wasteful number, since it uses less digits than its factorization.

126086688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 126086688 is about 11228.8328868142. The cubic root of 126086688 is about 501.4447387723. Note that the first 3 decimals are identical.

The spelling of 126086688 in words is "one hundred twenty-six million, eighty-six thousand, six hundred eighty-eight".