126790656 has 88 divisors (see below), whose sum is σ = 341439600. Its totient is φ = 41828352.

The previous prime is 126790603. The next prime is 126790669. The reversal of 126790656 is 656097621.

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 7 ways as a sum of consecutive naturals, for example, 457590 + ... + 457866.

Almost surely, 2^126790656 is an apocalyptic number.

126790656 is a gapful number since it is divisible by the number (16) 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 126790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170719800).

126790656 is an abundant number, since it is smaller than the sum of its proper divisors (214648944).

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

126790656 is a wasteful number, since it uses less digits than its factorization.

126790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 126790656 is about 11260.1357007809. The cubic root of 126790656 is about 502.3762305008.

The spelling of 126790656 in words is "one hundred twenty-six million, seven hundred ninety thousand, six hundred fifty-six".