1152001920 has 256 divisors, whose sum is σ = 4036262400. Its totient is φ = 278175744.

The previous prime is 1152001883. The next prime is 1152001927. The reversal of 1152001920 is 291002511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152001927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838354 + ... + 839726.

It is an arithmetic number, because the mean of its divisors is an integer number (15766650).

Almost surely, 2^1152001920 is an apocalyptic number.

1152001920 is a gapful number since it is divisible by the number (10) 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 1152001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018131200).

1152001920 is an abundant number, since it is smaller than the sum of its proper divisors (2884260480).

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

1152001920 is a wasteful number, since it uses less digits than its factorization.

1152001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1152001920 is about 33941.1537812137. The cubic root of 1152001920 is about 1048.2971400702.

It can be divided in two parts, 1152001 and 920, that added together give a triangular number (1152921 = T₁₅₁₈).

The spelling of 1152001920 in words is "one billion, one hundred fifty-two million, one thousand, nine hundred twenty".