248561820 has 108 divisors (see below), whose sum is σ = 816529896. Its totient is φ = 61176960.

The previous prime is 248561809. The next prime is 248561827. The reversal of 248561820 is 28165842.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248561827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26335 + ... + 34505.

It is an arithmetic number, because the mean of its divisors is an integer number (7560462).

Almost surely, 2^248561820 is an apocalyptic number.

248561820 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 248561820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408264948).

248561820 is an abundant number, since it is smaller than the sum of its proper divisors (567968076).

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

248561820 is a wasteful number, since it uses less digits than its factorization.

248561820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 248561820 is about 15765.8434598343. The cubic root of 248561820 is about 628.7502055921.

The spelling of 248561820 in words is "two hundred forty-eight million, five hundred sixty-one thousand, eight hundred twenty".