1801290960 has 720 divisors, whose sum is σ = 7656509952. Its totient is φ = 391910400.

The previous prime is 1801290923. The next prime is 1801290961. The reversal of 1801290960 is 690921081.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801290961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29529330 + ... + 29529390.

Almost surely, 2^1801290960 is an apocalyptic number.

1801290960 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 1801290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828254976).

1801290960 is an abundant number, since it is smaller than the sum of its proper divisors (5855218992).

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

1801290960 is a wasteful number, since it uses less digits than its factorization.

1801290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1801290960 is about 42441.6182537848. The cubic root of 1801290960 is about 1216.7311399707.

The spelling of 1801290960 in words is "one billion, eight hundred one million, two hundred ninety thousand, nine hundred sixty".