127248336 has 60 divisors (see below), whose sum is σ = 362859588. Its totient is φ = 41613312.

The previous prime is 127248323. The next prime is 127248337. The reversal of 127248336 is 633842721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106998336 + 20250000 = 10344^2 + 4500^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 127248336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127248337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705 + ... + 15968.

Almost surely, 2^127248336 is an apocalyptic number.

127248336 is a gapful number since it is divisible by the number (16) 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 127248336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181429794).

127248336 is an abundant number, since it is smaller than the sum of its proper divisors (235611252).

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

127248336 is a wasteful number, since it uses less digits than its factorization.

127248336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16740 (or 16731 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 127248336 is about 11280.4404169341. The cubic root of 127248336 is about 502.9799854228.

The spelling of 127248336 in words is "one hundred twenty-seven million, two hundred forty-eight thousand, three hundred thirty-six".