215977248 has 144 divisors (see below), whose sum is σ = 671763456. Its totient is φ = 65525760.

The previous prime is 215977219. The next prime is 215977249. The reversal of 215977248 is 842779512.

It is a happy number.

215977248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215977249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151065 + ... + 152487.

It is an arithmetic number, because the mean of its divisors is an integer number (4665024).

Almost surely, 2^215977248 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 215977248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335881728).

215977248 is an abundant number, since it is smaller than the sum of its proper divisors (455786208).

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

215977248 is a wasteful number, since it uses less digits than its factorization.

215977248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1476 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 215977248 is about 14696.1643975563. The cubic root of 215977248 is about 599.9789325936.

It can be divided in two parts, 215977 and 248, that added together give a square (216225 = 465²).

The spelling of 215977248 in words is "two hundred fifteen million, nine hundred seventy-seven thousand, two hundred forty-eight".