248136960 has 216 divisors, whose sum is σ = 841065120. Its totient is φ = 62337024.

The previous prime is 248136929. The next prime is 248136971. The reversal of 248136960 is 69631842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386151 + ... + 1386329.

It is an arithmetic number, because the mean of its divisors is an integer number (3893820).

Almost surely, 2^248136960 is an apocalyptic number.

248136960 is a gapful number since it is divisible by the number (20) 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 248136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420532560).

248136960 is an abundant number, since it is smaller than the sum of its proper divisors (592928160).

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

248136960 is a wasteful number, since it uses less digits than its factorization.

248136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 248136960 is about 15752.3636321664. The cubic root of 248136960 is about 628.3917660473.

The spelling of 248136960 in words is "two hundred forty-eight million, one hundred thirty-six thousand, nine hundred sixty".