248522664 has 64 divisors (see below), whose sum is σ = 670703040. Its totient is φ = 76285440.

The previous prime is 248522657. The next prime is 248522669. The reversal of 248522664 is 466225842.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (248522669) 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, 191859 + ... + 193149.

It is an arithmetic number, because the mean of its divisors is an integer number (10479735).

Almost surely, 2^248522664 is an apocalyptic number.

248522664 is a gapful number since it is divisible by the number (24) 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 248522664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335351520).

248522664 is an abundant number, since it is smaller than the sum of its proper divisors (422180376).

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

248522664 is a wasteful number, since it uses less digits than its factorization.

248522664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1926 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 248522664 is about 15764.6016124734. The cubic root of 248522664 is about 628.7171881374.

The spelling of 248522664 in words is "two hundred forty-eight million, five hundred twenty-two thousand, six hundred sixty-four".