127009480 has 64 divisors (see below), whose sum is σ = 317721600. Its totient is φ = 45377280.

The previous prime is 127009469. The next prime is 127009489. The reversal of 127009480 is 84900721.

It is a super-2 number, since 2×127009480² = 32262816019740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (127009489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12181 + ... + 20059.

It is an arithmetic number, because the mean of its divisors is an integer number (4964400).

Almost surely, 2^127009480 is an apocalyptic number.

127009480 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 127009480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158860800).

127009480 is an abundant number, since it is smaller than the sum of its proper divisors (190712120).

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

127009480 is a wasteful number, since it uses less digits than its factorization.

127009480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 127009480 is about 11269.8482687213. The cubic root of 127009480 is about 502.6650761660.

The spelling of 127009480 in words is "one hundred twenty-seven million, nine thousand, four hundred eighty".