126767680 has 112 divisors (see below), whose sum is σ = 335913984. Its totient is φ = 45250560.

The previous prime is 126767659. The next prime is 126767689. The reversal of 126767680 is 86767621.

It is not an unprimeable number, because it can be changed into a prime (126767689) 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 15 ways as a sum of consecutive naturals, for example, 128469 + ... + 129451.

It is an arithmetic number, because the mean of its divisors is an integer number (2999232).

Almost surely, 2^126767680 is an apocalyptic number.

126767680 is a gapful number since it is divisible by the number (10) 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 126767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167956992).

126767680 is an abundant number, since it is smaller than the sum of its proper divisors (209146304).

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

126767680 is a wasteful number, since it uses less digits than its factorization.

126767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 126767680 is about 11259.1154181845. The cubic root of 126767680 is about 502.3458831184.

The spelling of 126767680 in words is "one hundred twenty-six million, seven hundred sixty-seven thousand, six hundred eighty".