127561980 has 192 divisors, whose sum is σ = 447971328. Its totient is φ = 26403840.

The previous prime is 127561963. The next prime is 127561997. The reversal of 127561980 is 89165721.

It is an interprime number because it is at equal distance from previous prime (127561963) and next prime (127561997).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332869 + ... + 333251.

It is an arithmetic number, because the mean of its divisors is an integer number (2333184).

Almost surely, 2^127561980 is an apocalyptic number.

127561980 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 127561980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223985664).

127561980 is an abundant number, since it is smaller than the sum of its proper divisors (320409348).

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

127561980 is a wasteful number, since it uses less digits than its factorization.

127561980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 127561980 is about 11294.3339777076. Note that the first 3 decimals coincide. The cubic root of 127561980 is about 503.3928977455.

The spelling of 127561980 in words is "one hundred twenty-seven million, five hundred sixty-one thousand, nine hundred eighty".