127468800 has 162 divisors, whose sum is σ = 455935662. Its totient is φ = 33976320.

The previous prime is 127468741. The next prime is 127468843. The reversal of 127468800 is 8864721.

It can be written as a sum of positive squares in 3 ways, for example, as 40755456 + 86713344 = 6384^2 + 9312^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56494 + ... + 58706.

Almost surely, 2^127468800 is an apocalyptic number.

127468800 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 127468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227967831).

127468800 is an abundant number, since it is smaller than the sum of its proper divisors (328466862).

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

127468800 is a wasteful number, since it uses less digits than its factorization.

127468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 127468800 is about 11290.2081468855. The cubic root of 127468800 is about 503.2702970145.

The spelling of 127468800 in words is "one hundred twenty-seven million, four hundred sixty-eight thousand, eight hundred".