126032040 has 48 divisors (see below), whose sum is σ = 409605300. Its totient is φ = 33608448.

The previous prime is 126032021. The next prime is 126032047. The reversal of 126032040 is 40230621.

It is a happy number.

126032040 is a `hidden beast` number, since 1 + 2 + 603 + 20 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124144164 + 1887876 = 11142^2 + 1374^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (126032047) by changing a digit.

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, 174685 + ... + 175404.

Almost surely, 2^126032040 is an apocalyptic number.

126032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126032040 is an abundant number, since it is smaller than the sum of its proper divisors (283573260).

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

126032040 is a wasteful number, since it uses less digits than its factorization.

126032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350106 (or 350099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 126032040 is about 11226.3992446376. The cubic root of 126032040 is about 501.3722835633.

Adding to 126032040 its reverse (40230621), we get a palindrome (166262661).

The spelling of 126032040 in words is "one hundred twenty-six million, thirty-two thousand, forty".