1023817248 has 144 divisors (see below), whose sum is σ = 3122945280. Its totient is φ = 317011968.

The previous prime is 1023817243. The next prime is 1023817259. The reversal of 1023817248 is 8427183201.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1023817241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385461 + ... + 388107.

It is an arithmetic number, because the mean of its divisors is an integer number (21687120).

Almost surely, 2^1023817248 is an apocalyptic number.

1023817248 is a gapful number since it is divisible by the number (18) 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 1023817248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561472640).

1023817248 is an abundant number, since it is smaller than the sum of its proper divisors (2099128032).

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

1023817248 is a wasteful number, since it uses less digits than its factorization.

1023817248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1023817248 is about 31997.1443725843. The cubic root of 1023817248 is about 1007.8768746058.

The spelling of 1023817248 in words is "one billion, twenty-three million, eight hundred seventeen thousand, two hundred forty-eight".