126646740 has 288 divisors, whose sum is σ = 457906176. Its totient is φ = 29082240.

The previous prime is 126646727. The next prime is 126646757. The reversal of 126646740 is 47646621.

126646740 is a `hidden beast` number, since 1 + 2 + 6 + 646 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126646695 and 126646704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1229529 + ... + 1229631.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 2^126646740 is an apocalyptic number.

126646740 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 126646740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228953088).

126646740 is an abundant number, since it is smaller than the sum of its proper divisors (331259436).

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

126646740 is a wasteful number, since it uses less digits than its factorization.

126646740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 126646740 is about 11253.7433772056. The cubic root of 126646740 is about 502.1860814991.

The spelling of 126646740 in words is "one hundred twenty-six million, six hundred forty-six thousand, seven hundred forty".