126259968 has 72 divisors (see below), whose sum is σ = 347684400. Its totient is φ = 40628224.

The previous prime is 126259937. The next prime is 126260023. The reversal of 126259968 is 869952621.

It is a super-2 number, since 2×126259968² = 31883159038722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19438 + ... + 25106.

It is an arithmetic number, because the mean of its divisors is an integer number (4828950).

Almost surely, 2^126259968 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 126259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173842200).

126259968 is an abundant number, since it is smaller than the sum of its proper divisors (221424432).

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

126259968 is an equidigital number, since it uses as much as digits as its factorization.

126259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5703 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 126259968 is about 11236.5460885452. The cubic root of 126259968 is about 501.6743442177.

The spelling of 126259968 in words is "one hundred twenty-six million, two hundred fifty-nine thousand, nine hundred sixty-eight".