126546640 has 120 divisors (see below), whose sum is σ = 342868680. Its totient is φ = 43253760.

The previous prime is 126546601. The next prime is 126546643. The reversal of 126546640 is 46645621.

It can be written as a sum of positive squares in 4 ways, for example, as 20539024 + 106007616 = 4532^2 + 10296^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 126546596 and 126546605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126546643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164176 + ... + 164944.

It is an arithmetic number, because the mean of its divisors is an integer number (2857239).

Almost surely, 2^126546640 is an apocalyptic number.

126546640 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 126546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171434340).

126546640 is an abundant number, since it is smaller than the sum of its proper divisors (216322040).

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

126546640 is a wasteful number, since it uses less digits than its factorization.

126546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 126546640 is about 11249.2950890267. The cubic root of 126546640 is about 502.0537394256.

The spelling of 126546640 in words is "one hundred twenty-six million, five hundred forty-six thousand, six hundred forty".