126402880 has 112 divisors (see below), whose sum is σ = 318485520. Its totient is φ = 47710208.

The previous prime is 126402853. The next prime is 126402893. The reversal of 126402880 is 88204621.

It can be written as a sum of positive squares in 8 ways, for example, as 17909824 + 108493056 = 4232^2 + 10416^2 .

It is a congruent number.

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, 491712 + ... + 491968.

Almost surely, 2^126402880 is an apocalyptic number.

126402880 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 126402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159242760).

126402880 is an abundant number, since it is smaller than the sum of its proper divisors (192082640).

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

126402880 is a wasteful number, since it uses less digits than its factorization.

126402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 126402880 is about 11242.9035395666. The cubic root of 126402880 is about 501.8635523826.

The spelling of 126402880 in words is "one hundred twenty-six million, four hundred two thousand, eight hundred eighty".