126784720 has 80 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 47706624.

The previous prime is 126784667. The next prime is 126784727. The reversal of 126784720 is 27487621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 126784720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126784727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 363106 + ... + 363454.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^126784720 is an apocalyptic number.

126784720 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 126784720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

126784720 is an abundant number, since it is smaller than the sum of its proper divisors (185695280).

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

126784720 is a wasteful number, since it uses less digits than its factorization.

126784720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 126784720 is about 11259.8721129505. The cubic root of 126784720 is about 502.3683904072.

The spelling of 126784720 in words is "one hundred twenty-six million, seven hundred eighty-four thousand, seven hundred twenty".