127627248 has 80 divisors (see below), whose sum is σ = 388990976. Its totient is φ = 35285760.

The previous prime is 127627229. The next prime is 127627249. The reversal of 127627248 is 842726721.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127627249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4290 + ... + 16542.

Almost surely, 2^127627248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127627248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194495488).

127627248 is an abundant number, since it is smaller than the sum of its proper divisors (261363728).

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

127627248 is a wasteful number, since it uses less digits than its factorization.

127627248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12302 (or 12296 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 127627248 is about 11297.2230216102. The cubic root of 127627248 is about 503.4787379665.

The spelling of 127627248 in words is "one hundred twenty-seven million, six hundred twenty-seven thousand, two hundred forty-eight".