126206304 has 96 divisors (see below), whose sum is σ = 382314240. Its totient is φ = 35707392.

The previous prime is 126206299. The next prime is 126206309. The reversal of 126206304 is 403602621.

It is an interprime number because it is at equal distance from previous prime (126206299) and next prime (126206309).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126206309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72387 + ... + 74109.

It is an arithmetic number, because the mean of its divisors is an integer number (3982440).

Almost surely, 2^126206304 is an apocalyptic number.

126206304 is a gapful number since it is divisible by the number (14) 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 126206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191157120).

126206304 is an abundant number, since it is smaller than the sum of its proper divisors (256107936).

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

126206304 is a wasteful number, since it uses less digits than its factorization.

126206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 126206304 is about 11234.1579123671. The cubic root of 126206304 is about 501.6032589600.

Adding to 126206304 its sum of digits (24), we get a triangular number (126206328 = T₁₅₈₈₇).

Adding to 126206304 its reverse (403602621), we get a palindrome (529808925).

The spelling of 126206304 in words is "one hundred twenty-six million, two hundred six thousand, three hundred four".