716126040 has 384 divisors, whose sum is σ = 2803507200. Its totient is φ = 155105280.

The previous prime is 716126039. The next prime is 716126051. The reversal of 716126040 is 40621617.

716126040 is a `hidden beast` number, since 7 + 1 + 612 + 6 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 716125995 and 716126013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6952629 + ... + 6952731.

It is an arithmetic number, because the mean of its divisors is an integer number (7300800).

Almost surely, 2^716126040 is an apocalyptic number.

716126040 is a gapful number since it is divisible by the number (70) 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 716126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401753600).

716126040 is an abundant number, since it is smaller than the sum of its proper divisors (2087381160).

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

716126040 is a wasteful number, since it uses less digits than its factorization.

716126040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

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

The square root of 716126040 is about 26760.5313848586. The cubic root of 716126040 is about 894.6705777648.

Adding to 716126040 its reverse (40621617), we get a palindrome (756747657).

It can be divided in two parts, 716 and 126040, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 716126040 in words is "seven hundred sixteen million, one hundred twenty-six thousand, forty".