1205163648 has 96 divisors (see below), whose sum is σ = 3734798340. Its totient is φ = 370814976.

The previous prime is 1205163647. The next prime is 1205163649. The reversal of 1205163648 is 8463615021.

It is a happy number.

1205163648 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 1 + 6 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (1205163647) and next prime (1205163649).

It can be written as a sum of positive squares in 2 ways, for example, as 1182809664 + 22353984 = 34392^2 + 4728^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (1205163647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25261 + ... + 55212.

Almost surely, 2^1205163648 is an apocalyptic number.

1205163648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1205163648 is an abundant number, since it is smaller than the sum of its proper divisors (2529634692).

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

1205163648 is a wasteful number, since it uses less digits than its factorization.

1205163648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80506 (or 80491 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1205163648 is about 34715.4669851926. The cubic root of 1205163648 is about 1064.1806089096.

Adding to 1205163648 its reverse (8463615021), we get a palindrome (9668778669).

The spelling of 1205163648 in words is "one billion, two hundred five million, one hundred sixty-three thousand, six hundred forty-eight".