127329048 has 288 divisors, whose sum is σ = 465762960. Its totient is φ = 30965760.

The previous prime is 127329029. The next prime is 127329049. The reversal of 127329048 is 840923721.

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 (127329049) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659640 + ... + 659832.

Almost surely, 2^127329048 is an apocalyptic number.

127329048 is a gapful number since it is divisible by the number (18) 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 127329048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232881480).

127329048 is an abundant number, since it is smaller than the sum of its proper divisors (338433912).

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

127329048 is a wasteful number, since it uses less digits than its factorization.

127329048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 127329048 is about 11284.0173697137. The cubic root of 127329048 is about 503.0863075475.

The spelling of 127329048 in words is "one hundred twenty-seven million, three hundred twenty-nine thousand, forty-eight".