126293985 has 40 divisors (see below), whose sum is σ = 234222120. Its totient is φ = 65028096.

The previous prime is 126293983. The next prime is 126294001. The reversal of 126293985 is 589392621.

126293985 is a `hidden beast` number, since 12 + 629 + 3 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41525136 + 84768849 = 6444^2 + 9207^2 .

It is not a de Polignac number, because 126293985 - 2¹ = 126293983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 126293985.

It is not an unprimeable number, because it can be changed into a prime (126293983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6369 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (5855553).

Almost surely, 2^126293985 is an apocalyptic number.

126293985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126293985 is a deficient number, since it is larger than the sum of its proper divisors (107928135).

126293985 is a wasteful number, since it uses less digits than its factorization.

126293985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799 (or 10790 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 126293985 is about 11238.0596634828. The cubic root of 126293985 is about 501.7193939250.

The spelling of 126293985 in words is "one hundred twenty-six million, two hundred ninety-three thousand, nine hundred eighty-five".