126512784 has 60 divisors (see below), whose sum is σ = 355112316. Its totient is φ = 42045696.

The previous prime is 126512777. The next prime is 126512791. The reversal of 126512784 is 487215621.

It is an interprime number because it is at equal distance from previous prime (126512777) and next prime (126512791).

It can be written as a sum of positive squares in 2 ways, for example, as 111767184 + 14745600 = 10572^2 + 3840^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56062 + ... + 58274.

Almost surely, 2^126512784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126512784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177556158).

126512784 is an abundant number, since it is smaller than the sum of its proper divisors (228599532).

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

126512784 is a wasteful number, since it uses less digits than its factorization.

126512784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2615 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 126512784 is about 11247.7901829648. The cubic root of 126512784 is about 502.0089626607.

The spelling of 126512784 in words is "one hundred twenty-six million, five hundred twelve thousand, seven hundred eighty-four".