248121600 has 108 divisors (see below), whose sum is σ = 818916336. Its totient is φ = 66160640.

The previous prime is 248121583. The next prime is 248121623. The reversal of 248121600 is 6121842.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12739 + ... + 25661.

Almost surely, 2^248121600 is an apocalyptic number.

248121600 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 248121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409458168).

248121600 is an abundant number, since it is smaller than the sum of its proper divisors (570794736).

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

248121600 is a wasteful number, since it uses less digits than its factorization.

248121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952 (or 12933 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 248121600 is about 15751.8760787406. The cubic root of 248121600 is about 628.3787996910.

The spelling of 248121600 in words is "two hundred forty-eight million, one hundred twenty-one thousand, six hundred".