127547040 has 96 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 33880064.

The previous prime is 127547033. The next prime is 127547041. The reversal of 127547040 is 40745721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 127546989 and 127547007.

It is not an unprimeable number, because it can be changed into a prime (127547041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223876 + ... + 224444.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^127547040 is an apocalyptic number.

127547040 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 127547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

127547040 is an abundant number, since it is smaller than the sum of its proper divisors (275794080).

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

127547040 is a wasteful number, since it uses less digits than its factorization.

127547040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 127547040 is about 11293.6725647594. The cubic root of 127547040 is about 503.3732445972.

The spelling of 127547040 in words is "one hundred twenty-seven million, five hundred forty-seven thousand, forty".