127988640 has 384 divisors, whose sum is σ = 502951680. Its totient is φ = 30191616.

The previous prime is 127988639. The next prime is 127988669. The reversal of 127988640 is 46889721.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2414854 + ... + 2414906.

It is an arithmetic number, because the mean of its divisors is an integer number (1309770).

Almost surely, 2^127988640 is an apocalyptic number.

127988640 is a gapful number since it is divisible by the number (10) 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 127988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

127988640 is an abundant number, since it is smaller than the sum of its proper divisors (374963040).

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

127988640 is a wasteful number, since it uses less digits than its factorization.

127988640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 127988640 is about 11313.2064420305. The cubic root of 127988640 is about 503.9535104511.

The spelling of 127988640 in words is "one hundred twenty-seven million, nine hundred eighty-eight thousand, six hundred forty".