127677140 has 96 divisors (see below), whose sum is σ = 306996480. Its totient is φ = 44312576.

The previous prime is 127677103. The next prime is 127677149. The reversal of 127677140 is 41776721.

It is a self number, because there is not a number n which added to its sum of digits gives 127677140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127677149) 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, 226499 + ... + 227061.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 2^127677140 is an apocalyptic number.

127677140 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 127677140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153498240).

127677140 is an abundant number, since it is smaller than the sum of its proper divisors (179319340).

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

127677140 is a wasteful number, since it uses less digits than its factorization.

127677140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 127677140 is about 11299.4309591236. The cubic root of 127677140 is about 503.5443359979.

The spelling of 127677140 in words is "one hundred twenty-seven million, six hundred seventy-seven thousand, one hundred forty".