126791040 has 64 divisors (see below), whose sum is σ = 404152560. Its totient is φ = 33810432.

The previous prime is 126790949. The next prime is 126791053. The reversal of 126791040 is 40197621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126790989 and 126791007.

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 7 ways as a sum of consecutive naturals, for example, 31099 + ... + 34938.

Almost surely, 2^126791040 is an apocalyptic number.

126791040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126791040 is an abundant number, since it is smaller than the sum of its proper divisors (277361520).

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

126791040 is an equidigital number, since it uses as much as digits as its factorization.

126791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66059 (or 66047 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 126791040 is about 11260.1527520722. The cubic root of 126791040 is about 502.3767376682.

The spelling of 126791040 in words is "one hundred twenty-six million, seven hundred ninety-one thousand, forty".