248669568 has 256 divisors, whose sum is σ = 884544000. Its totient is φ = 67184640.

The previous prime is 248669567. The next prime is 248669573. The reversal of 248669568 is 865966842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248669567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459378 + ... + 459918.

It is an arithmetic number, because the mean of its divisors is an integer number (3455250).

Almost surely, 2^248669568 is an apocalyptic number.

248669568 is a gapful number since it is divisible by the number (28) 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 248669568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442272000).

248669568 is an abundant number, since it is smaller than the sum of its proper divisors (635874432).

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

248669568 is a wasteful number, since it uses less digits than its factorization.

248669568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 572 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 248669568 is about 15769.2602236123. The cubic root of 248669568 is about 628.8410438799.

The spelling of 248669568 in words is "two hundred forty-eight million, six hundred sixty-nine thousand, five hundred sixty-eight".