1203664896 has 288 divisors, whose sum is σ = 4190659200. Its totient is φ = 325140480.

The previous prime is 1203664883. The next prime is 1203664907. The reversal of 1203664896 is 6984663021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451211 + ... + 2451701.

It is an arithmetic number, because the mean of its divisors is an integer number (14550900).

Almost surely, 2^1203664896 is an apocalyptic number.

1203664896 is a gapful number since it is divisible by the number (16) 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 1203664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095329600).

1203664896 is an abundant number, since it is smaller than the sum of its proper divisors (2986994304).

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

1203664896 is a wasteful number, since it uses less digits than its factorization.

1203664896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1203664896 is about 34693.8740413924. The cubic root of 1203664896 is about 1063.7392844921.

The spelling of 1203664896 in words is "one billion, two hundred three million, six hundred sixty-four thousand, eight hundred ninety-six".