126210560 has 80 divisors (see below), whose sum is σ = 345888576. Its totient is φ = 43266048.

The previous prime is 126210541. The next prime is 126210563. The reversal of 126210560 is 65012621.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (126210563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14399 + ... + 21441.

Almost surely, 2^126210560 is an apocalyptic number.

126210560 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 126210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172944288).

126210560 is an abundant number, since it is smaller than the sum of its proper divisors (219678016).

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

126210560 is an frugal number, since it uses more digits than its factorization.

126210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 126210560 is about 11234.3473330675. The cubic root of 126210560 is about 501.6088973457.

The spelling of 126210560 in words is "one hundred twenty-six million, two hundred ten thousand, five hundred sixty".