1901680 has 40 divisors (see below), whose sum is σ = 4825584. Its totient is φ = 691200.

The previous prime is 1901651. The next prime is 1901681. The reversal of 1901680 is 861091.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 1960.

2^1901680 is an apocalyptic number.

1901680 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 1901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412792).

1901680 is an abundant number, since it is smaller than the sum of its proper divisors (2923904).

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

1901680 is a wasteful number, since it uses less digits than its factorization.

1901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1901680 is about 1379.0141406092. The cubic root of 1901680 is about 123.8927272039.

The spelling of 1901680 in words is "one million, nine hundred one thousand, six hundred eighty".