248312064 has 576 divisors, whose sum is σ = 988968960. Its totient is φ = 53084160.

The previous prime is 248312039. The next prime is 248312093. The reversal of 248312064 is 460213842.

It is a super-2 number, since 2×248312064² = 123317762255880192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13069047 + ... + 13069065.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^248312064 is an apocalyptic number.

248312064 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 248312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494484480).

248312064 is an abundant number, since it is smaller than the sum of its proper divisors (740656896).

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

248312064 is a wasteful number, since it uses less digits than its factorization.

248312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 248312064 is about 15757.9206750129. The cubic root of 248312064 is about 628.5395447031.

The spelling of 248312064 in words is "two hundred forty-eight million, three hundred twelve thousand, sixty-four".