127214208 has 96 divisors (see below), whose sum is σ = 399391200. Its totient is φ = 38545920.

The previous prime is 127214201. The next prime is 127214237. The reversal of 127214208 is 802412721.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (127214201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7653 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (4160325).

Almost surely, 2^127214208 is an apocalyptic number.

127214208 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 127214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199695600).

127214208 is an abundant number, since it is smaller than the sum of its proper divisors (272176992).

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

127214208 is a wasteful number, since it uses less digits than its factorization.

127214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 127214208 is about 11278.9276085983. The cubic root of 127214208 is about 502.9350149964.

Adding to 127214208 its reverse (802412721), we get a palindrome (929626929).

The spelling of 127214208 in words is "one hundred twenty-seven million, two hundred fourteen thousand, two hundred eight".