1658960 has 40 divisors (see below), whose sum is σ = 3917160. Its totient is φ = 653312.

The previous prime is 1658957. The next prime is 1658963. The reversal of 1658960 is 698561.

It is an interprime number because it is at equal distance from previous prime (1658957) and next prime (1658963).

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 1658944 = 4^2 + 1288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1658960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1658963) 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, 7004 + ... + 7236.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

2^1658960 is an apocalyptic number.

1658960 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 1658960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958580).

1658960 is an abundant number, since it is smaller than the sum of its proper divisors (2258200).

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

1658960 is a wasteful number, since it uses less digits than its factorization.

1658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1658960 is about 1288.0062111651. The cubic root of 1658960 is about 118.3800824787.

The spelling of 1658960 in words is "one million, six hundred fifty-eight thousand, nine hundred sixty".