248776 has 24 divisors (see below), whose sum is σ = 514710. Its totient is φ = 112640.

The previous prime is 248753. The next prime is 248779. The reversal of 248776 is 677842.

It can be written as a sum of positive squares in only one way, i.e., 139876 + 108900 = 374^2 + 330^2 .

It is a d-powerful number, because it can be written as 2¹⁷ + 4 + 7 + 8 + 7⁶ + 6² .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248779) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 840 + ... + 1096.

248776 is a Friedman number, since it can be written as 8*(6^(7-2)*4-7), using all its digits and the basic arithmetic operations.

2²⁴⁸⁷⁷⁶ 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 248776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257355).

248776 is an abundant number, since it is smaller than the sum of its proper divisors (265934).

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

248776 is a wasteful number, since it uses less digits than its factorization.

248776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 248776 is about 498.7744981452. The cubic root of 248776 is about 62.8930746940.

It can be divided in two parts, 248 and 776, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 248776 in words is "two hundred forty-eight thousand, seven hundred seventy-six".