248890768 has 20 divisors (see below), whose sum is σ = 551115520. Its totient is φ = 106667424.

The previous prime is 248890757. The next prime is 248890781. The reversal of 248890768 is 867098842.

248890768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248890768² = 123893228791259648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1111008 + ... + 1111231.

It is an arithmetic number, because the mean of its divisors is an integer number (27555776).

Almost surely, 2^248890768 is an apocalyptic number.

248890768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248890768 is an abundant number, since it is smaller than the sum of its proper divisors (302224752).

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

248890768 is a wasteful number, since it uses less digits than its factorization.

248890768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222254 (or 2222248 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 248890768 is about 15776.2723100230. The cubic root of 248890768 is about 629.0274470866.

The spelling of 248890768 in words is "two hundred forty-eight million, eight hundred ninety thousand, seven hundred sixty-eight".