126623200 has 72 divisors (see below), whose sum is σ = 337244040. Its totient is φ = 46041600.

The previous prime is 126623183. The next prime is 126623219. The reversal of 126623200 is 2326621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 11 ways as a sum of consecutive naturals, for example, 1606 + ... + 15994.

It is an arithmetic number, because the mean of its divisors is an integer number (4683945).

Almost surely, 2^126623200 is an apocalyptic number.

126623200 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 126623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168622020).

126623200 is an abundant number, since it is smaller than the sum of its proper divisors (210620840).

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

126623200 is a wasteful number, since it uses less digits than its factorization.

126623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14420 (or 14407 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 126623200 is about 11252.6974543884. The cubic root of 126623200 is about 502.1549655703.

Adding to 126623200 its reverse (2326621), we get a palindrome (128949821).

It can be divided in two parts, 126 and 623200, that added together give a palindrome (623326).

The spelling of 126623200 in words is "one hundred twenty-six million, six hundred twenty-three thousand, two hundred".