126510930 has 256 divisors, whose sum is σ = 438681600. Its totient is φ = 25194240.

The previous prime is 126510913. The next prime is 126510931. The reversal of 126510930 is 39015621.

126510930 is a `hidden beast` number, since 1 + 2 + 651 + 0 + 9 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126510894 and 126510903.

It is not an unprimeable number, because it can be changed into a prime (126510931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466695 + ... + 466965.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^126510930 is an apocalyptic number.

126510930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126510930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219340800).

126510930 is an abundant number, since it is smaller than the sum of its proper divisors (312170670).

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

126510930 is a wasteful number, since it uses less digits than its factorization.

126510930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 126510930 is about 11247.7077664740. The cubic root of 126510930 is about 502.0065103942.

The spelling of 126510930 in words is "one hundred twenty-six million, five hundred ten thousand, nine hundred thirty".