126218976 has 96 divisors (see below), whose sum is σ = 375661440. Its totient is φ = 36785664.

The previous prime is 126218959. The next prime is 126218977. The reversal of 126218976 is 679812621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126218977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21051 + ... + 26373.

It is an arithmetic number, because the mean of its divisors is an integer number (3913140).

Almost surely, 2^126218976 is an apocalyptic number.

126218976 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 126218976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187830720).

126218976 is an abundant number, since it is smaller than the sum of its proper divisors (249442464).

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

126218976 is a wasteful number, since it uses less digits than its factorization.

126218976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5360 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 126218976 is about 11234.7218924191. The cubic root of 126218976 is about 501.6200465624.

The spelling of 126218976 in words is "one hundred twenty-six million, two hundred eighteen thousand, nine hundred seventy-six".