1617960 has 64 divisors (see below), whose sum is σ = 4939200. Its totient is φ = 423936.

The previous prime is 1617949. The next prime is 1617971. The reversal of 1617960 is 697161.

It is an interprime number because it is at equal distance from previous prime (1617949) and next prime (1617971).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 11571 + ... + 11709.

It is an arithmetic number, because the mean of its divisors is an integer number (77175).

2^1617960 is an apocalyptic number.

1617960 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 1617960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469600).

1617960 is an abundant number, since it is smaller than the sum of its proper divisors (3321240).

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

1617960 is a wasteful number, since it uses less digits than its factorization.

1617960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1617960 is about 1271.9905660028. The cubic root of 1617960 is about 117.3967101942.

The spelling of 1617960 in words is "one million, six hundred seventeen thousand, nine hundred sixty".