126031968 has 72 divisors (see below), whose sum is σ = 366774408. Its totient is φ = 41029632.

The previous prime is 126031949. The next prime is 126031979. The reversal of 126031968 is 869130621.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7296 + ... + 17472.

It is an arithmetic number, because the mean of its divisors is an integer number (5094089).

Almost surely, 2^126031968 is an apocalyptic number.

126031968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126031968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183387204).

126031968 is an abundant number, since it is smaller than the sum of its proper divisors (240742440).

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

126031968 is a wasteful number, since it uses less digits than its factorization.

126031968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10236 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 126031968 is about 11226.3960379099. The cubic root of 126031968 is about 501.3721880881.

The spelling of 126031968 in words is "one hundred twenty-six million, thirty-one thousand, nine hundred sixty-eight".