1617940 has 12 divisors (see below), whose sum is σ = 3397716. Its totient is φ = 647168.

The previous prime is 1617929. The next prime is 1617943. The reversal of 1617940 is 497161.

It can be written as a sum of positive squares in 2 ways, for example, as 1073296 + 544644 = 1036^2 + 738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1617899 and 1617908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617943) 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 3 ways as a sum of consecutive naturals, for example, 40429 + ... + 40468.

It is an arithmetic number, because the mean of its divisors is an integer number (283143).

2^1617940 is an apocalyptic number.

1617940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617940 is an abundant number, since it is smaller than the sum of its proper divisors (1779776).

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

1617940 is a wasteful number, since it uses less digits than its factorization.

1617940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80906 (or 80904 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1617940 is about 1271.9827042849. The cubic root of 1617940 is about 117.3962264690.

It can be divided in two parts, 16 and 17940, that added together give a square (17956 = 134²).

The spelling of 1617940 in words is "one million, six hundred seventeen thousand, nine hundred forty".