5127948 has 180 divisors, whose sum is σ = 17380440. Its totient is φ = 1306368.

The previous prime is 5127943. The next prime is 5127949. The reversal of 5127948 is 8497215.

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

Its product of digits (20160) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5127943) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 269883 + ... + 269901.

It is an arithmetic number, because the mean of its divisors is an integer number (96558).

Almost surely, 2^5127948 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 5127948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690220).

5127948 is an abundant number, since it is smaller than the sum of its proper divisors (12252492).

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

5127948 is a wasteful number, since it uses less digits than its factorization.

5127948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5127948 is about 2264.4972952070. The cubic root of 5127948 is about 172.4439137133.

The spelling of 5127948 in words is "five million, one hundred twenty-seven thousand, nine hundred forty-eight".