1618960 has 80 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 545664.

The previous prime is 1618957. The next prime is 1618963. The reversal of 1618960 is 698161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1618957) and next prime (1618963).

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

It is not an unprimeable number, because it can be changed into a prime (1618963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27411 + ... + 27469.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2^1618960 is an apocalyptic number.

1618960 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 1618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

1618960 is an abundant number, since it is smaller than the sum of its proper divisors (2845040).

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

1618960 is an equidigital number, since it uses as much as digits as its factorization.

1618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1618960 is about 1272.3835899602. The cubic root of 1618960 is about 117.4208913714.

The spelling of 1618960 in words is "one million, six hundred eighteen thousand, nine hundred sixty".