1202896224 has 192 divisors, whose sum is σ = 3666862080. Its totient is φ = 383201280.

The previous prime is 1202896181. The next prime is 1202896237. The reversal of 1202896224 is 4226982021.

1202896224 is a `hidden beast` number, since 1 + 2 + 0 + 28 + 9 + 622 + 4 = 666.

1202896224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2597817 + ... + 2598279.

It is an arithmetic number, because the mean of its divisors is an integer number (19098240).

Almost surely, 2^1202896224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202896224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833431040).

1202896224 is an abundant number, since it is smaller than the sum of its proper divisors (2463965856).

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

1202896224 is a wasteful number, since it uses less digits than its factorization.

1202896224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1202896224 is about 34682.7943510900. The cubic root of 1202896224 is about 1063.5127982211.

The spelling of 1202896224 in words is "one billion, two hundred two million, eight hundred ninety-six thousand, two hundred twenty-four".