127528960 has 104 divisors (see below), whose sum is σ = 330261120. Its totient is φ = 46989312.

The previous prime is 127528957. The next prime is 127528967. The reversal of 127528960 is 69825721.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127528967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 266001 + ... + 266479.

Almost surely, 2^127528960 is an apocalyptic number.

127528960 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 127528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165130560).

127528960 is an abundant number, since it is smaller than the sum of its proper divisors (202732160).

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

127528960 is an equidigital number, since it uses as much as digits as its factorization.

127528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 127528960 is about 11292.8720881802. The cubic root of 127528960 is about 503.3494588151.

It can be divided in two parts, 12752 and 8960, that added together give a palindrome (21712).

The spelling of 127528960 in words is "one hundred twenty-seven million, five hundred twenty-eight thousand, nine hundred sixty".