126355680 has 192 divisors, whose sum is σ = 482630400. Its totient is φ = 30620160.

The previous prime is 126355651. The next prime is 126355699. The reversal of 126355680 is 86553621.

126355680 is a `hidden beast` number, since 1 + 26 + 3 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46191 + ... + 48849.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^126355680 is an apocalyptic number.

126355680 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 126355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

126355680 is an abundant number, since it is smaller than the sum of its proper divisors (356274720).

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

126355680 is a wasteful number, since it uses less digits than its factorization.

126355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 126355680 is about 11240.8042416902. The cubic root of 126355680 is about 501.8010777810.

The spelling of 126355680 in words is "one hundred twenty-six million, three hundred fifty-five thousand, six hundred eighty".