1913680 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 724608.

The previous prime is 1913651. The next prime is 1913683. The reversal of 1913680 is 863191.

It is a happy number.

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

It is a super-2 number, since 2×1913680² = 7324342284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913683) 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, 891 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

2^1913680 is an apocalyptic number.

1913680 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 1913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1913680 is an abundant number, since it is smaller than the sum of its proper divisors (2773520).

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

1913680 is a wasteful number, since it uses less digits than its factorization.

1913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1913680 is about 1383.3582327076. The cubic root of 1913680 is about 124.1527773502.

The spelling of 1913680 in words is "one million, nine hundred thirteen thousand, six hundred eighty".