1801336680 has 288 divisors, whose sum is σ = 6932114280. Its totient is φ = 402969600.

The previous prime is 1801336661. The next prime is 1801336699. The reversal of 1801336680 is 866331081.

It is an interprime number because it is at equal distance from previous prime (1801336661) and next prime (1801336699).

It can be written as a sum of positive squares in 4 ways, for example, as 672779844 + 1128556836 = 25938^2 + 33594^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 564690 + ... + 567870.

Almost surely, 2^1801336680 is an apocalyptic number.

1801336680 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 1801336680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466057140).

1801336680 is an abundant number, since it is smaller than the sum of its proper divisors (5130777600).

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

1801336680 is a wasteful number, since it uses less digits than its factorization.

1801336680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1801336680 is about 42442.1568726190. The cubic root of 1801336680 is about 1216.7414341576.

The spelling of 1801336680 in words is "one billion, eight hundred one million, three hundred thirty-six thousand, six hundred eighty".