248777568 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 72534528.

The previous prime is 248777563. The next prime is 248777569. The reversal of 248777568 is 865777842.

It is a happy number.

248777568 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 77 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (5268480) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248777561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2324971 + ... + 2325077.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^248777568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248777568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

248777568 is an abundant number, since it is smaller than the sum of its proper divisors (583378848).

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

248777568 is a wasteful number, since it uses less digits than its factorization.

248777568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 248777568 is about 15772.6842357286. The cubic root of 248777568 is about 628.9320682912.

The spelling of 248777568 in words is "two hundred forty-eight million, seven hundred seventy-seven thousand, five hundred sixty-eight".