127126860 has 96 divisors (see below), whose sum is σ = 414554112. Its totient is φ = 28504320.

The previous prime is 127126859. The next prime is 127126861. The reversal of 127126860 is 68621721.

It is an interprime number because it is at equal distance from previous prime (127126859) and next prime (127126861).

It is a super-2 number, since 2×127126860² = 32322477066919200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127126861) 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, 19405 + ... + 25115.

It is an arithmetic number, because the mean of its divisors is an integer number (4318272).

Almost surely, 2^127126860 is an apocalyptic number.

127126860 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 127126860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

127126860 is an abundant number, since it is smaller than the sum of its proper divisors (287427252).

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

127126860 is a wasteful number, since it uses less digits than its factorization.

127126860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 127126860 is about 11275.0547670510. The cubic root of 127126860 is about 502.8198799898.

The spelling of 127126860 in words is "one hundred twenty-seven million, one hundred twenty-six thousand, eight hundred sixty".