126206880 has 96 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 33484800.

The previous prime is 126206851. The next prime is 126206909. The reversal of 126206880 is 88602621.

It is an interprime number because it is at equal distance from previous prime (126206851) and next prime (126206909).

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, 115135 + ... + 116225.

It is an arithmetic number, because the mean of its divisors is an integer number (4162158).

Almost surely, 2^126206880 is an apocalyptic number.

126206880 is a gapful number since it is divisible by the number (10) 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 126206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199783584).

126206880 is an abundant number, since it is smaller than the sum of its proper divisors (273360288).

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

126206880 is a wasteful number, since it uses less digits than its factorization.

126206880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 126206880 is about 11234.1835484382. The cubic root of 126206880 is about 501.6040220572.

The spelling of 126206880 in words is "one hundred twenty-six million, two hundred six thousand, eight hundred eighty".