215488 has 56 divisors (see below), whose sum is σ = 540512. Its totient is φ = 82944.

The previous prime is 215483. The next prime is 215497. The reversal of 215488 is 884512.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215483) by changing a digit.

215488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5806 + ... + 5842.

It is an arithmetic number, because the mean of its divisors is an integer number (9652).

2²¹⁵⁴⁸⁸ is an apocalyptic number.

215488 is a gapful number since it is divisible by the number (28) 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 215488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270256).

215488 is an abundant number, since it is smaller than the sum of its proper divisors (325024).

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

215488 is a wasteful number, since it uses less digits than its factorization.

215488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 215488 is about 464.2068504449. The cubic root of 215488 is about 59.9525550855.

It can be divided in two parts, 215 and 488, that added together give a triangular number (703 = T₃₇).

The spelling of 215488 in words is "two hundred fifteen thousand, four hundred eighty-eight".