127115560 has 128 divisors (see below), whose sum is σ = 341832960. Its totient is φ = 41932800.

The previous prime is 127115543. The next prime is 127115591. The reversal of 127115560 is 65511721.

It is a super-2 number, since 2×127115560² = 32316731188227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405964 + ... + 406276.

It is an arithmetic number, because the mean of its divisors is an integer number (2670570).

Almost surely, 2^127115560 is an apocalyptic number.

127115560 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 127115560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170916480).

127115560 is an abundant number, since it is smaller than the sum of its proper divisors (214717400).

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

127115560 is a wasteful number, since it uses less digits than its factorization.

127115560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 127115560 is about 11274.5536497016. The cubic root of 127115560 is about 502.8049813995.

It can be divided in two parts, 1271155 and 60, that added together give a triangular number (1271215 = T₁₅₉₄).

The spelling of 127115560 in words is "one hundred twenty-seven million, one hundred fifteen thousand, five hundred sixty".