126040320 has 288 divisors, whose sum is σ = 512144640. Its totient is φ = 28753920.

The previous prime is 126040301. The next prime is 126040373. The reversal of 126040320 is 23040621.

It is a happy number.

126040320 is a `hidden beast` number, since 1 + 260 + 403 + 2 + 0 = 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 = 126040293 and 126040302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241660 + ... + 242180.

It is an arithmetic number, because the mean of its divisors is an integer number (1778280).

Almost surely, 2^126040320 is an apocalyptic number.

126040320 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 126040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256072320).

126040320 is an abundant number, since it is smaller than the sum of its proper divisors (386104320).

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

126040320 is an equidigital number, since it uses as much as digits as its factorization.

126040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

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

The square root of 126040320 is about 11226.7680122108. The cubic root of 126040320 is about 501.3832629714.

Adding to 126040320 its reverse (23040621), we get a palindrome (149080941).

The spelling of 126040320 in words is "one hundred twenty-six million, forty thousand, three hundred twenty".