126761040 has 180 divisors, whose sum is σ = 495346644. Its totient is φ = 28965888.

The previous prime is 126761023. The next prime is 126761051. The reversal of 126761040 is 40167621.

126761040 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 610 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 83832336 = 6552^2 + 9156^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×126761040² = 32136722523763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126760995 and 126761013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33484 + ... + 37076.

Almost surely, 2^126761040 is an apocalyptic number.

126761040 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 126761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247673322).

126761040 is an abundant number, since it is smaller than the sum of its proper divisors (368585604).

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

126761040 is a wasteful number, since it uses less digits than its factorization.

126761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126761040 is about 11258.8205421350. The cubic root of 126761040 is about 502.3371121265.

The spelling of 126761040 in words is "one hundred twenty-six million, seven hundred sixty-one thousand, forty".