127263900 has 144 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 31645440.

The previous prime is 127263889. The next prime is 127263907. The reversal of 127263900 is 9362721.

It is a super-2 number, since 2×127263900² = 32392200486420000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127263907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472966 + ... + 473234.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^127263900 is an apocalyptic number.

127263900 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 127263900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

127263900 is an abundant number, since it is smaller than the sum of its proper divisors (266460900).

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

127263900 is a wasteful number, since it uses less digits than its factorization.

127263900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 127263900 is about 11281.1302625225. The cubic root of 127263900 is about 503.0004914181. Note that the first 3 decimals are identical.

The spelling of 127263900 in words is "one hundred twenty-seven million, two hundred sixty-three thousand, nine hundred".