215127264 has 96 divisors (see below), whose sum is σ = 620960256. Its totient is φ = 64670720.

The previous prime is 215127239. The next prime is 215127281. The reversal of 215127264 is 462721512.

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

It is a super-2 number, since 2×215127264² = 92559479432251392, which contains 22 as substring.

It is a congruent number.

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, 143929 + ... + 145415.

It is an arithmetic number, because the mean of its divisors is an integer number (6468336).

Almost surely, 2^215127264 is an apocalyptic number.

215127264 is a gapful number since it is divisible by the number (24) 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 215127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310480128).

215127264 is an abundant number, since it is smaller than the sum of its proper divisors (405832992).

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

215127264 is a wasteful number, since it uses less digits than its factorization.

215127264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1640 counting only the distinct ones).

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

The square root of 215127264 is about 14667.2173229962. The cubic root of 215127264 is about 599.1908203154.

Adding to 215127264 its reverse (462721512), we get a palindrome (677848776).

The spelling of 215127264 in words is "two hundred fifteen million, one hundred twenty-seven thousand, two hundred sixty-four".