215115264 has 480 divisors, whose sum is σ = 834113280. Its totient is φ = 53747712.

The previous prime is 215115253. The next prime is 215115269. The reversal of 215115264 is 462511512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215115269) 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, 11321847 + ... + 11321865.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 2^215115264 is an apocalyptic number.

215115264 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 215115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417056640).

215115264 is an abundant number, since it is smaller than the sum of its proper divisors (618998016).

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

215115264 is an equidigital number, since it uses as much as digits as its factorization.

215115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 215115264 is about 14666.8082417409. The cubic root of 215115264 is about 599.1796789668.

Adding to 215115264 its reverse (462511512), we get a palindrome (677626776).

The spelling of 215115264 in words is "two hundred fifteen million, one hundred fifteen thousand, two hundred sixty-four".