1203867648 has 234 divisors, whose sum is σ = 3726692034. Its totient is φ = 374341632.

The previous prime is 1203867647. The next prime is 1203867659. The reversal of 1203867648 is 8467683021.

It can be written as a sum of positive squares in 3 ways, for example, as 150994944 + 1052872704 = 12288^2 + 32448^2 .

It is not an unprimeable number, because it can be changed into a prime (1203867641) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10653640 + ... + 10653752.

Almost surely, 2^1203867648 is an apocalyptic number.

1203867648 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 1203867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863346017).

1203867648 is an abundant number, since it is smaller than the sum of its proper divisors (2522824386).

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

1203867648 is a wasteful number, since it uses less digits than its factorization.

1203867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1203867648 is about 34696.7959327659. The cubic root of 1203867648 is about 1063.7990085231.

The spelling of 1203867648 in words is "one billion, two hundred three million, eight hundred sixty-seven thousand, six hundred forty-eight".