215563264 has 176 divisors, whose sum is σ = 548268480. Its totient is φ = 82575360.

The previous prime is 215563261. The next prime is 215563267. The reversal of 215563264 is 462365512.

215563264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215563261) and next prime (215563267).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215563261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3533794 + ... + 3533854.

Almost surely, 2^215563264 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 215563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274134240).

215563264 is an abundant number, since it is smaller than the sum of its proper divisors (332705216).

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

215563264 is a wasteful number, since it uses less digits than its factorization.

215563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 215563264 is about 14682.0728781736. The cubic root of 215563264 is about 599.5953419626.

The spelling of 215563264 in words is "two hundred fifteen million, five hundred sixty-three thousand, two hundred sixty-four".