126394080 has 96 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 31928832.

The previous prime is 126394069. The next prime is 126394091. The reversal of 126394080 is 80493621.

126394080 = T₅₇ + T₅₈ + ... + T₉₁₁.

It is an interprime number because it is at equal distance from previous prime (126394069) and next prime (126394091).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2191 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^126394080 is an apocalyptic number.

126394080 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 126394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

126394080 is an abundant number, since it is smaller than the sum of its proper divisors (292732320).

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

126394080 is a wasteful number, since it uses less digits than its factorization.

126394080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13896 (or 13888 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 126394080 is about 11242.5121747766. The cubic root of 126394080 is about 501.8519057552.

The spelling of 126394080 in words is "one hundred twenty-six million, three hundred ninety-four thousand, eighty".