1801128960 has 440 divisors, whose sum is σ = 6669715536. Its totient is φ = 464486400.

The previous prime is 1801128949. The next prime is 1801128977. The reversal of 1801128960 is 698211081.

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 39 ways as a sum of consecutive naturals, for example, 17832910 + ... + 17833010.

Almost surely, 2^1801128960 is an apocalyptic number.

1801128960 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 1801128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334857768).

1801128960 is an abundant number, since it is smaller than the sum of its proper divisors (4868586576).

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

1801128960 is a wasteful number, since it uses less digits than its factorization.

1801128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1801128960 is about 42439.7097068300. The cubic root of 1801128960 is about 1216.6946631034.

It can be divided in two parts, 18011 and 28960, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 1801128960 in words is "one billion, eight hundred one million, one hundred twenty-eight thousand, nine hundred sixty".