126004320 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 30191616.

The previous prime is 126004313. The next prime is 126004337. The reversal of 126004320 is 23400621.

It is a happy number.

126004320 is a `hidden beast` number, since 1 + 2 + 600 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 126004293 and 126004302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992097 + ... + 992223.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^126004320 is an apocalyptic number.

126004320 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 126004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

126004320 is an abundant number, since it is smaller than the sum of its proper divisors (349513632).

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

126004320 is a wasteful number, since it uses less digits than its factorization.

126004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 126004320 is about 11225.1645867666. The cubic root of 126004320 is about 501.3355229143.

Adding to 126004320 its reverse (23400621), we get a palindrome (149404941).

The spelling of 126004320 in words is "one hundred twenty-six million, four thousand, three hundred twenty".