248067360 has 120 divisors (see below), whose sum is σ = 875516796. Its totient is φ = 66147840.

The previous prime is 248067353. The next prime is 248067367. The reversal of 248067360 is 63760842.

It is an interprime number because it is at equal distance from previous prime (248067353) and next prime (248067367).

It can be written as a sum of positive squares in 2 ways, for example, as 247495824 + 571536 = 15732^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248067367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3390 + ... + 22530.

Almost surely, 2^248067360 is an apocalyptic number.

248067360 is a gapful number since it is divisible by the number (20) 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 248067360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437758398).

248067360 is an abundant number, since it is smaller than the sum of its proper divisors (627449436).

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

248067360 is a wasteful number, since it uses less digits than its factorization.

248067360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19168 (or 19151 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 248067360 is about 15750.1542849586. The cubic root of 248067360 is about 628.3330079636. Note that the first 3 decimals are identical.

The spelling of 248067360 in words is "two hundred forty-eight million, sixty-seven thousand, three hundred sixty".