248614120 has 64 divisors (see below), whose sum is σ = 596185920. Its totient is φ = 92980224.

The previous prime is 248614117. The next prime is 248614127. The reversal of 248614120 is 21416842.

248614120 = T₂₃₇₆ + T₂₃₇₇ + ... + T₂₄₆₀.

248614120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248614127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109719 + ... + 111961.

It is an arithmetic number, because the mean of its divisors is an integer number (9315405).

Almost surely, 2^248614120 is an apocalyptic number.

248614120 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 248614120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298092960).

248614120 is an abundant number, since it is smaller than the sum of its proper divisors (347571800).

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

248614120 is a wasteful number, since it uses less digits than its factorization.

248614120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 248614120 is about 15767.5020215632. The cubic root of 248614120 is about 628.7943010337.

The spelling of 248614120 in words is "two hundred forty-eight million, six hundred fourteen thousand, one hundred twenty".