126466560 has 240 divisors, whose sum is σ = 478764000. Its totient is φ = 30597120.

The previous prime is 126466547. The next prime is 126466573. The reversal of 126466560 is 65664621.

It is a happy number.

126466560 is a `hidden beast` number, since 1 + 2 + 646 + 6 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126466547) and next prime (126466573).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253191 + ... + 253689.

It is an arithmetic number, because the mean of its divisors is an integer number (1994850).

Almost surely, 2^126466560 is an apocalyptic number.

126466560 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 126466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239382000).

126466560 is an abundant number, since it is smaller than the sum of its proper divisors (352297440).

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

126466560 is a wasteful number, since it uses less digits than its factorization.

126466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 126466560 is about 11245.7351916182. The cubic root of 126466560 is about 501.9478155095.

The spelling of 126466560 in words is "one hundred twenty-six million, four hundred sixty-six thousand, five hundred sixty".