126541968 has 80 divisors (see below), whose sum is σ = 376464000. Its totient is φ = 35877888.

The previous prime is 126541937. The next prime is 126541979. The reversal of 126541968 is 869145621.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 44658 + ... + 47406.

It is an arithmetic number, because the mean of its divisors is an integer number (4705800).

Almost surely, 2^126541968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126541968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188232000).

126541968 is an abundant number, since it is smaller than the sum of its proper divisors (249922032).

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

126541968 is a wasteful number, since it uses less digits than its factorization.

126541968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2898 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 126541968 is about 11249.0874296540. The cubic root of 126541968 is about 502.0475608764.

The spelling of 126541968 in words is "one hundred twenty-six million, five hundred forty-one thousand, nine hundred sixty-eight".