127534680 has 384 divisors, whose sum is σ = 542505600. Its totient is φ = 25214976.

The previous prime is 127534679. The next prime is 127534681. The reversal of 127534680 is 86435721.

It is an interprime number because it is at equal distance from previous prime (127534679) and next prime (127534681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127534681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556806 + ... + 557034.

It is an arithmetic number, because the mean of its divisors is an integer number (1412775).

Almost surely, 2^127534680 is an apocalyptic number.

127534680 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 127534680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271252800).

127534680 is an abundant number, since it is smaller than the sum of its proper divisors (414970920).

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

127534680 is a wasteful number, since it uses less digits than its factorization.

127534680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 127534680 is about 11293.1253424373. The cubic root of 127534680 is about 503.3569842061.

The spelling of 127534680 in words is "one hundred twenty-seven million, five hundred thirty-four thousand, six hundred eighty".