248099712 has 128 divisors (see below), whose sum is σ = 786101760. Its totient is φ = 67786752.

The previous prime is 248099711. The next prime is 248099743. The reversal of 248099712 is 217990842.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248099711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59818 + ... + 63830.

It is an arithmetic number, because the mean of its divisors is an integer number (6141420).

Almost surely, 2^248099712 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 248099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393050880).

248099712 is an abundant number, since it is smaller than the sum of its proper divisors (538002048).

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

248099712 is a wasteful number, since it uses less digits than its factorization.

248099712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 248099712 is about 15751.1812890335. The cubic root of 248099712 is about 628.3603217086.

The spelling of 248099712 in words is "two hundred forty-eight million, ninety-nine thousand, seven hundred twelve".