126611280 has 120 divisors (see below), whose sum is σ = 435675240. Its totient is φ = 32931840.

The previous prime is 126611263. The next prime is 126611323. The reversal of 126611280 is 82116621.

126611280 is a `hidden beast` number, since 1 + 26 + 611 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11778624 + 114832656 = 3432^2 + 10716^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27376 + ... + 31664.

It is an arithmetic number, because the mean of its divisors is an integer number (3630627).

Almost surely, 2^126611280 is an apocalyptic number.

126611280 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 126611280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217837620).

126611280 is an abundant number, since it is smaller than the sum of its proper divisors (309063960).

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

126611280 is a wasteful number, since it uses less digits than its factorization.

126611280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 126611280 is about 11252.1677911414. The cubic root of 126611280 is about 502.1392078602.

The spelling of 126611280 in words is "one hundred twenty-six million, six hundred eleven thousand, two hundred eighty".