126219968 has 56 divisors (see below), whose sum is σ = 303105312. Its totient is φ = 50909184.

The previous prime is 126219967. The next prime is 126219971. The reversal of 126219968 is 869912621.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (126219967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671 + ... + 15902.

Almost surely, 2^126219968 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 126219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151552656).

126219968 is an abundant number, since it is smaller than the sum of its proper divisors (176885344).

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

126219968 is a wasteful number, since it uses less digits than its factorization.

126219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16609 (or 16599 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 126219968 is about 11234.7660411777. The cubic root of 126219968 is about 501.6213606960.

The spelling of 126219968 in words is "one hundred twenty-six million, two hundred nineteen thousand, nine hundred sixty-eight".