126228096 has 192 divisors, whose sum is σ = 392496000. Its totient is φ = 38817792.

The previous prime is 126228079. The next prime is 126228107. The reversal of 126228096 is 690822621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126228096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597785 + ... + 1597863.

It is an arithmetic number, because the mean of its divisors is an integer number (2044250).

Almost surely, 2^126228096 is an apocalyptic number.

126228096 is a gapful number since it is divisible by the number (16) 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 126228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196248000).

126228096 is an abundant number, since it is smaller than the sum of its proper divisors (266267904).

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

126228096 is a wasteful number, since it uses less digits than its factorization.

126228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126228096 is about 11235.1277696340. The cubic root of 126228096 is about 501.6321278537.

The spelling of 126228096 in words is "one hundred twenty-six million, two hundred twenty-eight thousand, ninety-six".