248347120 has 80 divisors (see below), whose sum is σ = 662689728. Its totient is φ = 84787200.

The previous prime is 248347109. The next prime is 248347171. The reversal of 248347120 is 21743842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154320 + ... + 155920.

Almost surely, 2^248347120 is an apocalyptic number.

248347120 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 248347120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331344864).

248347120 is an abundant number, since it is smaller than the sum of its proper divisors (414342608).

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

248347120 is a wasteful number, since it uses less digits than its factorization.

248347120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 248347120 is about 15759.0329652552. The cubic root of 248347120 is about 628.5691217940.

The spelling of 248347120 in words is "two hundred forty-eight million, three hundred forty-seven thousand, one hundred twenty".