127820448 has 288 divisors, whose sum is σ = 452874240. Its totient is φ = 33384960.

The previous prime is 127820417. The next prime is 127820477. The reversal of 127820448 is 844028721.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800253 + ... + 1800323.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^127820448 is an apocalyptic number.

127820448 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 127820448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

127820448 is an abundant number, since it is smaller than the sum of its proper divisors (325053792).

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

127820448 is a wasteful number, since it uses less digits than its factorization.

127820448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 127820448 is about 11305.7705619741. The cubic root of 127820448 is about 503.7326624536.

It can be divided in two parts, 1278 and 20448, that multiplied together give a square (26132544 = 5112²).

The spelling of 127820448 in words is "one hundred twenty-seven million, eight hundred twenty thousand, four hundred forty-eight".