248098032 has 160 divisors (see below), whose sum is σ = 876610560. Its totient is φ = 65422080.

The previous prime is 248098027. The next prime is 248098049. The reversal of 248098032 is 230890842.

248098032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36157 + ... + 42467.

It is an arithmetic number, because the mean of its divisors is an integer number (5478816).

Almost surely, 2^248098032 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 248098032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438305280).

248098032 is an abundant number, since it is smaller than the sum of its proper divisors (628512528).

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

248098032 is a wasteful number, since it uses less digits than its factorization.

248098032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248098032 is about 15751.1279596097. The cubic root of 248098032 is about 628.3589033976.

The spelling of 248098032 in words is "two hundred forty-eight million, ninety-eight thousand, thirty-two".