1959840 has 72 divisors (see below), whose sum is σ = 6692868. Its totient is φ = 522240.

The previous prime is 1959833. The next prime is 1959847. The reversal of 1959840 is 489591.

It is an interprime number because it is at equal distance from previous prime (1959833) and next prime (1959847).

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 121104 = 1356^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 9² + 5⁹ + 9⁴ + 8 + 4³ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 1959795 and 1959804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760 + ... + 2120.

2^1959840 is an apocalyptic number.

1959840 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 1959840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346434).

1959840 is an abundant number, since it is smaller than the sum of its proper divisors (4733028).

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

1959840 is a wasteful number, since it uses less digits than its factorization.

1959840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1959840 is about 1399.9428559766. The cubic root of 1959840 is about 125.1430894741.

The spelling of 1959840 in words is "one million, nine hundred fifty-nine thousand, eight hundred forty".