126052640 has 96 divisors (see below), whose sum is σ = 342486144. Its totient is φ = 42946560.

The previous prime is 126052639. The next prime is 126052643. The reversal of 126052640 is 46250621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126052643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269687 + ... + 270153.

It is an arithmetic number, because the mean of its divisors is an integer number (3567564).

Almost surely, 2^126052640 is an apocalyptic number.

126052640 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 126052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243072).

126052640 is an abundant number, since it is smaller than the sum of its proper divisors (216433504).

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

126052640 is a wasteful number, since it uses less digits than its factorization.

126052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 126052640 is about 11227.3166874369. The cubic root of 126052640 is about 501.3995985920.

The spelling of 126052640 in words is "one hundred twenty-six million, fifty-two thousand, six hundred forty".