1655680 has 64 divisors (see below), whose sum is σ = 4284000. Its totient is φ = 608256.

The previous prime is 1655677. The next prime is 1655683. The reversal of 1655680 is 865561.

1655680 = T₁₆ + T₁₇ + ... + T₂₁₄.

It is an interprime number because it is at equal distance from previous prime (1655677) and next prime (1655683).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1655683) 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 7 ways as a sum of consecutive naturals, for example, 8221 + ... + 8419.

2^1655680 is an apocalyptic number.

1655680 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 1655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142000).

1655680 is an abundant number, since it is smaller than the sum of its proper divisors (2628320).

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

1655680 is a wasteful number, since it uses less digits than its factorization.

1655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1655680 is about 1286.7322953901. The cubic root of 1655680 is about 118.3020129148.

It can be divided in two parts, 16 and 55680, that added together give a square (55696 = 236²).

The spelling of 1655680 in words is "one million, six hundred fifty-five thousand, six hundred eighty".