248070680 has 128 divisors (see below), whose sum is σ = 677376000. Its totient is φ = 80524800.

The previous prime is 248070677. The next prime is 248070689. The reversal of 248070680 is 86070842.

It is a self number, because there is not a number n which added to its sum of digits gives 248070680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248070689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176621 + ... + 178019.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^248070680 is an apocalyptic number.

248070680 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 248070680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

248070680 is an abundant number, since it is smaller than the sum of its proper divisors (429305320).

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

248070680 is a wasteful number, since it uses less digits than its factorization.

248070680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 248070680 is about 15750.2596803989. The cubic root of 248070680 is about 628.3358110414.

The spelling of 248070680 in words is "two hundred forty-eight million, seventy thousand, six hundred eighty".