126260960 has 96 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 42711552.

The previous prime is 126260957. The next prime is 126260969. The reversal of 126260960 is 69062621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126260969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87767 + ... + 89193.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^126260960 is an apocalyptic number.

126260960 is a gapful number since it is divisible by the number (10) 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 126260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

126260960 is an abundant number, since it is smaller than the sum of its proper divisors (219200800).

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

126260960 is a wasteful number, since it uses less digits than its factorization.

126260960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 126260960 is about 11236.5902301365. The cubic root of 126260960 is about 501.6756580668.

The spelling of 126260960 in words is "one hundred twenty-six million, two hundred sixty thousand, nine hundred sixty".