126322560 has 384 divisors, whose sum is σ = 539098560. Its totient is φ = 26542080.

The previous prime is 126322543. The next prime is 126322571. The reversal of 126322560 is 65223621.

126322560 is a `hidden beast` number, since 1 + 2 + 632 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524040 + ... + 524280.

Almost surely, 2^126322560 is an apocalyptic number.

126322560 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 126322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269549280).

126322560 is an abundant number, since it is smaller than the sum of its proper divisors (412776000).

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

126322560 is a wasteful number, since it uses less digits than its factorization.

126322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126322560 is about 11239.3309409413. The cubic root of 126322560 is about 501.7572303813.

The spelling of 126322560 in words is "one hundred twenty-six million, three hundred twenty-two thousand, five hundred sixty".