126067984 has 45 divisors (see below), whose sum is σ = 284845701. Its totient is φ = 53894400.

The previous prime is 126067969. The next prime is 126067987. The reversal of 126067984 is 489760621.

The square root of 126067984 is 11228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 124813584 + 1254400 = 11172^2 + 1120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126067984.

It is not an unprimeable number, because it can be changed into a prime (126067987) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 314184 + ... + 314584.

Almost surely, 2^126067984 is an apocalyptic number.

126067984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

126067984 is the 11228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126067984

126067984 is an abundant number, since it is smaller than the sum of its proper divisors (158777717).

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

126067984 is an frugal number, since it uses more digits than its factorization.

126067984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 126067984 is about 501.4199423767.

The spelling of 126067984 in words is "one hundred twenty-six million, sixty-seven thousand, nine hundred eighty-four".