127013320 has 64 divisors (see below), whose sum is σ = 331257600. Its totient is φ = 42927360.

The previous prime is 127013297. The next prime is 127013321. The reversal of 127013320 is 23310721.

It is a super-2 number, since 2×127013320² = 32264766914844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127013321) 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 15 ways as a sum of consecutive naturals, for example, 16686 + ... + 23074.

It is an arithmetic number, because the mean of its divisors is an integer number (5175900).

Almost surely, 2^127013320 is an apocalyptic number.

127013320 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 127013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165628800).

127013320 is an abundant number, since it is smaller than the sum of its proper divisors (204244280).

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

127013320 is a wasteful number, since it uses less digits than its factorization.

127013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 127013320 is about 11270.0186335250. The cubic root of 127013320 is about 502.6701419675.

The spelling of 127013320 in words is "one hundred twenty-seven million, thirteen thousand, three hundred twenty".