1200846528 has 252 divisors, whose sum is σ = 4044342432. Its totient is φ = 339655680.

The previous prime is 1200846503. The next prime is 1200846533. The reversal of 1200846528 is 8256480021.

1200846528 is a `hidden beast` number, since 120 + 0 + 8 + 4 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a junction number, because it is equal to n+sod(n) for n = 1200846492 and 1200846501.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4431033 + ... + 4431303.

Almost surely, 2^1200846528 is an apocalyptic number.

1200846528 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 1200846528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022171216).

1200846528 is an abundant number, since it is smaller than the sum of its proper divisors (2843495904).

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

1200846528 is a wasteful number, since it uses less digits than its factorization.

1200846528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1200846528 is about 34653.2325764856. The cubic root of 1200846528 is about 1062.9083910674.

The spelling of 1200846528 in words is "one billion, two hundred million, eight hundred forty-six thousand, five hundred twenty-eight".