126307968 has 64 divisors (see below), whose sum is σ = 339064320. Its totient is φ = 41656320.

The previous prime is 126307939. The next prime is 126307997. The reversal of 126307968 is 869703621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126307939) and next prime (126307997).

It is a tau number, because it is divible by the number of its divisors (64).

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, 35553 + ... + 38943.

It is an arithmetic number, because the mean of its divisors is an integer number (5297880).

Almost surely, 2^126307968 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 126307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169532160).

126307968 is an abundant number, since it is smaller than the sum of its proper divisors (212756352).

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

126307968 is an equidigital number, since it uses as much as digits as its factorization.

126307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 126307968 is about 11238.6817732330. The cubic root of 126307968 is about 501.7379096745.

The spelling of 126307968 in words is "one hundred twenty-six million, three hundred seven thousand, nine hundred sixty-eight".