126404520 has 256 divisors, whose sum is σ = 451630080. Its totient is φ = 27955200.

The previous prime is 126404507. The next prime is 126404539. The reversal of 126404520 is 25404621.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 964855 + ... + 964985.

It is an arithmetic number, because the mean of its divisors is an integer number (1764180).

Almost surely, 2^126404520 is an apocalyptic number.

126404520 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 126404520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225815040).

126404520 is an abundant number, since it is smaller than the sum of its proper divisors (325225560).

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

126404520 is a wasteful number, since it uses less digits than its factorization.

126404520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 126404520 is about 11242.9764742260. The cubic root of 126404520 is about 501.8657228307.

The spelling of 126404520 in words is "one hundred twenty-six million, four hundred four thousand, five hundred twenty".