126761320 has 128 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 41158656.

The previous prime is 126761317. The next prime is 126761321. The reversal of 126761320 is 23167621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (126761321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543924 + ... + 544156.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^126761320 is an apocalyptic number.

126761320 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 126761320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

126761320 is an abundant number, since it is smaller than the sum of its proper divisors (216937880).

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

126761320 is a wasteful number, since it uses less digits than its factorization.

126761320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 126761320 is about 11258.8329768231. The cubic root of 126761320 is about 502.3374819937.

The spelling of 126761320 in words is "one hundred twenty-six million, seven hundred sixty-one thousand, three hundred twenty".