248581680 has 80 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 65484544.

The previous prime is 248581673. The next prime is 248581703. The reversal of 248581680 is 86185842.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13681 + ... + 26159.

It is an arithmetic number, because the mean of its divisors is an integer number (9749376).

Almost surely, 2^248581680 is an apocalyptic number.

248581680 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 248581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

248581680 is an abundant number, since it is smaller than the sum of its proper divisors (531368400).

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

248581680 is a wasteful number, since it uses less digits than its factorization.

248581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12578 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 248581680 is about 15766.4732898642. The cubic root of 248581680 is about 628.7669507845.

The spelling of 248581680 in words is "two hundred forty-eight million, five hundred eighty-one thousand, six hundred eighty".