248520636 has 120 divisors (see below), whose sum is σ = 799703520. Its totient is φ = 65536128.

The previous prime is 248520619. The next prime is 248520677. The reversal of 248520636 is 636025842.

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

It is a self number, because there is not a number n which added to its sum of digits gives 248520636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25270 + ... + 33698.

It is an arithmetic number, because the mean of its divisors is an integer number (6664196).

Almost surely, 2^248520636 is an apocalyptic number.

248520636 is a gapful number since it is divisible by the number (26) 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 248520636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399851760).

248520636 is an abundant number, since it is smaller than the sum of its proper divisors (551182884).

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

248520636 is a wasteful number, since it uses less digits than its factorization.

248520636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8465 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 248520636 is about 15764.5372910213. The cubic root of 248520636 is about 628.7154779755.

The spelling of 248520636 in words is "two hundred forty-eight million, five hundred twenty thousand, six hundred thirty-six".