127434560 has 112 divisors (see below), whose sum is σ = 339498432. Its totient is φ = 45158400.

The previous prime is 127434557. The next prime is 127434599. The reversal of 127434560 is 65434721.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 143879 + ... + 144761.

It is an arithmetic number, because the mean of its divisors is an integer number (3031236).

Almost surely, 2^127434560 is an apocalyptic number.

127434560 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 127434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169749216).

127434560 is an abundant number, since it is smaller than the sum of its proper divisors (212063872).

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

127434560 is a wasteful number, since it uses less digits than its factorization.

127434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 127434560 is about 11288.6916868165. The cubic root of 127434560 is about 503.2252310372.

The spelling of 127434560 in words is "one hundred twenty-seven million, four hundred thirty-four thousand, five hundred sixty".