248201088 has 128 divisors (see below), whose sum is σ = 705244320. Its totient is φ = 77070336.

The previous prime is 248201081. The next prime is 248201171. The reversal of 248201088 is 880102842.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248201081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259806 + ... + 1260002.

Almost surely, 2^248201088 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 248201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352622160).

248201088 is an abundant number, since it is smaller than the sum of its proper divisors (457043232).

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

248201088 is a wasteful number, since it uses less digits than its factorization.

248201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 248201088 is about 15754.3990047225. The cubic root of 248201088 is about 628.4458948050.

The spelling of 248201088 in words is "two hundred forty-eight million, two hundred one thousand, eighty-eight".