127924320 has 192 divisors, whose sum is σ = 435347136. Its totient is φ = 31457280.

The previous prime is 127924309. The next prime is 127924327. The reversal of 127924320 is 23429721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127924327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497632 + ... + 497888.

It is an arithmetic number, because the mean of its divisors is an integer number (2267433).

Almost surely, 2^127924320 is an apocalyptic number.

127924320 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 127924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217673568).

127924320 is an abundant number, since it is smaller than the sum of its proper divisors (307422816).

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

127924320 is a wasteful number, since it uses less digits than its factorization.

127924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 127924320 is about 11310.3633893876. The cubic root of 127924320 is about 503.8690766004.

The spelling of 127924320 in words is "one hundred twenty-seven million, nine hundred twenty-four thousand, three hundred twenty".