126617040 has 240 divisors, whose sum is σ = 482379840. Its totient is φ = 30274560.

The previous prime is 126617033. The next prime is 126617041. The reversal of 126617040 is 40716621.

126617040 is a `hidden beast` number, since 1 + 2 + 6 + 617 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 126616995 and 126617013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126617041) 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 47 ways as a sum of consecutive naturals, for example, 1734444 + ... + 1734516.

It is an arithmetic number, because the mean of its divisors is an integer number (2009916).

Almost surely, 2^126617040 is an apocalyptic number.

126617040 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 126617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241189920).

126617040 is an abundant number, since it is smaller than the sum of its proper divisors (355762800).

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

126617040 is a wasteful number, since it uses less digits than its factorization.

126617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 94 counting only the distinct ones).

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

The square root of 126617040 is about 11252.4237389107. The cubic root of 126617040 is about 502.1468224476.

It can be divided in two parts, 12661 and 7040, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 126617040 in words is "one hundred twenty-six million, six hundred seventeen thousand, forty".