127770048 has 210 divisors, whose sum is σ = 441463176. Its totient is φ = 36433152.

The previous prime is 127770047. The next prime is 127770067. The reversal of 127770048 is 840077721.

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

It is a junction number, because it is equal to n+sod(n) for n = 127769994 and 127770021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127770047) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253765 + ... + 254267.

Almost surely, 2^127770048 is an apocalyptic number.

127770048 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 127770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220731588).

127770048 is an abundant number, since it is smaller than the sum of its proper divisors (313693128).

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

127770048 is an equidigital number, since it uses as much as digits as its factorization.

127770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 127770048 is about 11303.5413919709. The cubic root of 127770048 is about 503.6664459648. Note that the first 3 decimals are identical.

The spelling of 127770048 in words is "one hundred twenty-seven million, seven hundred seventy thousand, forty-eight".