127047360 has 224 divisors, whose sum is σ = 450323712. Its totient is φ = 30085120.

The previous prime is 127047359. The next prime is 127047367. The reversal of 127047360 is 63740721.

It is a super-2 number, since 2×127047360² = 32282063365939200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (127047367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559567 + ... + 559793.

Almost surely, 2^127047360 is an apocalyptic number.

127047360 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 127047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225161856).

127047360 is an abundant number, since it is smaller than the sum of its proper divisors (323276352).

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

127047360 is a wasteful number, since it uses less digits than its factorization.

127047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 127047360 is about 11271.5287339384. The cubic root of 127047360 is about 502.7150437234.

The spelling of 127047360 in words is "one hundred twenty-seven million, forty-seven thousand, three hundred sixty".