126546560 has 128 divisors (see below), whose sum is σ = 353687040. Its totient is φ = 42393600.

The previous prime is 126546551. The next prime is 126546577. The reversal of 126546560 is 65645621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 126546560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210260 + ... + 210860.

It is an arithmetic number, because the mean of its divisors is an integer number (2763180).

Almost surely, 2^126546560 is an apocalyptic number.

126546560 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 126546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176843520).

126546560 is an abundant number, since it is smaller than the sum of its proper divisors (227140480).

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

126546560 is an equidigital number, since it uses as much as digits as its factorization.

126546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 126546560 is about 11249.2915332478. The cubic root of 126546560 is about 502.0536336298.

The spelling of 126546560 in words is "one hundred twenty-six million, five hundred forty-six thousand, five hundred sixty".