1959120 has 80 divisors (see below), whose sum is σ = 6755520. Its totient is φ = 521856.

The previous prime is 1959091. The next prime is 1959149. The reversal of 1959120 is 219591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1959091) and next prime (1959149).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707 + ... + 2613.

It is an arithmetic number, because the mean of its divisors is an integer number (84444).

2^1959120 is an apocalyptic number.

1959120 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 1959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377760).

1959120 is an abundant number, since it is smaller than the sum of its proper divisors (4796400).

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

1959120 is a wasteful number, since it uses less digits than its factorization.

1959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 1959120 is about 1399.6856790008. The cubic root of 1959120 is about 125.1277627024.

The spelling of 1959120 in words is "one million, nine hundred fifty-nine thousand, one hundred twenty".