248108064 has 48 divisors (see below), whose sum is σ = 689599008. Its totient is φ = 77837312.

The previous prime is 248108053. The next prime is 248108071. The reversal of 248108064 is 460801842.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×248108064² = 123115222843656192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74382 + ... + 77645.

It is an arithmetic number, because the mean of its divisors is an integer number (14366646).

Almost surely, 2^248108064 is an apocalyptic number.

248108064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248108064 is an abundant number, since it is smaller than the sum of its proper divisors (441490944).

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

248108064 is a wasteful number, since it uses less digits than its factorization.

248108064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152057 (or 152049 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 248108064 is about 15751.4464097746. The cubic root of 248108064 is about 628.3673726459.

The spelling of 248108064 in words is "two hundred forty-eight million, one hundred eight thousand, sixty-four".