248246640 has 160 divisors (see below), whose sum is σ = 860212800. Its totient is φ = 65802240.

The previous prime is 248246627. The next prime is 248246681. The reversal of 248246640 is 46642842.

It is a happy number.

248246640 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 4 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 248246595 and 248246604.

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, 606756 + ... + 607164.

It is an arithmetic number, because the mean of its divisors is an integer number (5376330).

Almost surely, 2^248246640 is an apocalyptic number.

248246640 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 248246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430106400).

248246640 is an abundant number, since it is smaller than the sum of its proper divisors (611966160).

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

248246640 is a wasteful number, since it uses less digits than its factorization.

248246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 248246640 is about 15755.8446298509. The cubic root of 248246640 is about 628.4843383866.

The spelling of 248246640 in words is "two hundred forty-eight million, two hundred forty-six thousand, six hundred forty".