126075648 has 72 divisors (see below), whose sum is σ = 337897728. Its totient is φ = 41731072.

The previous prime is 126075647. The next prime is 126075661. The reversal of 126075648 is 846570621.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (126075643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127765 + ... + 128747.

It is an arithmetic number, because the mean of its divisors is an integer number (4693024).

Almost surely, 2^126075648 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 126075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168948864).

126075648 is an abundant number, since it is smaller than the sum of its proper divisors (211822080).

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

126075648 is an equidigital number, since it uses as much as digits as its factorization.

126075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 126075648 is about 11228.3412844462. The cubic root of 126075648 is about 501.4301030441.

The spelling of 126075648 in words is "one hundred twenty-six million, seventy-five thousand, six hundred forty-eight".