126409024 has 84 divisors (see below), whose sum is σ = 294743124. Its totient is φ = 53630976.

The previous prime is 126409001. The next prime is 126409043. The reversal of 126409024 is 420904621.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 52998400 = 8568^2 + 7280^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 126408983 and 126409001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542412 + ... + 542644.

Almost surely, 2^126409024 is an apocalyptic number.

126409024 is a gapful number since it is divisible by the number (14) 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 126409024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147371562).

126409024 is an abundant number, since it is smaller than the sum of its proper divisors (168334100).

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

126409024 is a wasteful number, since it uses less digits than its factorization.

126409024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 126409024 is about 11243.1767752713. The cubic root of 126409024 is about 501.8716835257.

The spelling of 126409024 in words is "one hundred twenty-six million, four hundred nine thousand, twenty-four".