126347040 has 120 divisors (see below), whose sum is σ = 445945500. Its totient is φ = 33689088.

The previous prime is 126347033. The next prime is 126347057. The reversal of 126347040 is 40743621.

It can be written as a sum of positive squares in 2 ways, for example, as 117418896 + 8928144 = 10836^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 126346995 and 126347013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8086 + ... + 17834.

Almost surely, 2^126347040 is an apocalyptic number.

126347040 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 126347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222972750).

126347040 is an abundant number, since it is smaller than the sum of its proper divisors (319598460).

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

126347040 is an equidigital number, since it uses as much as digits as its factorization.

126347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 126347040 is about 11240.4199209816. The cubic root of 126347040 is about 501.7896400677.

The spelling of 126347040 in words is "one hundred twenty-six million, three hundred forty-seven thousand, forty".