126769680 has 120 divisors (see below), whose sum is σ = 450821592. Its totient is φ = 31813632.

The previous prime is 126769679. The next prime is 126769703. The reversal of 126769680 is 86967621.

It can be written as a sum of positive squares in 4 ways, for example, as 25887744 + 100881936 = 5088^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7062 + ... + 17418.

Almost surely, 2^126769680 is an apocalyptic number.

126769680 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 126769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225410796).

126769680 is an abundant number, since it is smaller than the sum of its proper divisors (324051912).

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

126769680 is a wasteful number, since it uses less digits than its factorization.

126769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 126769680 is about 11259.2042347583. The cubic root of 126769680 is about 502.3485249234.

It can be divided in two parts, 126769 and 680, that added together give a square (127449 = 357²).

The spelling of 126769680 in words is "one hundred twenty-six million, seven hundred sixty-nine thousand, six hundred eighty".