1611680 has 48 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 552192.

The previous prime is 1611667. The next prime is 1611689. The reversal of 1611680 is 861161.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1611689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^1611680 is an apocalyptic number.

1611680 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 1611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1611680 is an abundant number, since it is smaller than the sum of its proper divisors (2742880).

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

1611680 is a wasteful number, since it uses less digits than its factorization.

1611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1611680 is about 1269.5195941773. The cubic root of 1611680 is about 117.2446241794.

It can be divided in two parts, 161 and 1680, that multiplied together give a triangular number (270480 = T₇₃₅).

The spelling of 1611680 in words is "one million, six hundred eleven thousand, six hundred eighty".