127978160 has 40 divisors (see below), whose sum is σ = 307815120. Its totient is φ = 49425152.

The previous prime is 127978157. The next prime is 127978163. The reversal of 127978160 is 61879721.

It is an interprime number because it is at equal distance from previous prime (127978157) and next prime (127978163).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (127978163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25262 + ... + 29901.

It is an arithmetic number, because the mean of its divisors is an integer number (7695378).

Almost surely, 2^127978160 is an apocalyptic number.

127978160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127978160 is an abundant number, since it is smaller than the sum of its proper divisors (179836960).

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

127978160 is a wasteful number, since it uses less digits than its factorization.

127978160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55205 (or 55199 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 41.

The square root of 127978160 is about 11312.7432570531. The cubic root of 127978160 is about 503.9397551237.

The spelling of 127978160 in words is "one hundred twenty-seven million, nine hundred seventy-eight thousand, one hundred sixty".