126003968 has 36 divisors (see below), whose sum is σ = 252270480. Its totient is φ = 62813184.

The previous prime is 126003967. The next prime is 126003971. The reversal of 126003968 is 869300621.

It is not an unprimeable number, because it can be changed into a prime (126003967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129821 + ... + 130787.

Almost surely, 2^126003968 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 126003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126135240).

126003968 is an abundant number, since it is smaller than the sum of its proper divisors (126266512).

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

126003968 is an frugal number, since it uses more digits than its factorization.

126003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 126003968 is about 11225.1489076983. The cubic root of 126003968 is about 501.3350560778.

The spelling of 126003968 in words is "one hundred twenty-six million, three thousand, nine hundred sixty-eight".