127215264 has 96 divisors (see below), whose sum is σ = 371335104. Its totient is φ = 37806080.

The previous prime is 127215247. The next prime is 127215271. The reversal of 127215264 is 462512721.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54832 + ... + 57104.

It is an arithmetic number, because the mean of its divisors is an integer number (3868074).

Almost surely, 2^127215264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127215264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185667552).

127215264 is an abundant number, since it is smaller than the sum of its proper divisors (244119840).

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

127215264 is a wasteful number, since it uses less digits than its factorization.

127215264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2342 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 127215264 is about 11278.9744214623. The cubic root of 127215264 is about 502.9364066070.

Adding to 127215264 its reverse (462512721), we get a palindrome (589727985).

The spelling of 127215264 in words is "one hundred twenty-seven million, two hundred fifteen thousand, two hundred sixty-four".