126196560 has 300 divisors, whose sum is σ = 501188532. Its totient is φ = 28449792.

The previous prime is 126196513. The next prime is 126196579. The reversal of 126196560 is 65691621.

126196560 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 96 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 67765824 = 7644^2 + 8232^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1728684 + ... + 1728756.

Almost surely, 2^126196560 is an apocalyptic number.

126196560 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 126196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250594266).

126196560 is an abundant number, since it is smaller than the sum of its proper divisors (374991972).

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

126196560 is an equidigital number, since it uses as much as digits as its factorization.

126196560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 126196560 is about 11233.7242266312. The cubic root of 126196560 is about 501.5903495469.

It can be divided in two parts, 126196 and 560, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 126196560 in words is "one hundred twenty-six million, one hundred ninety-six thousand, five hundred sixty".