1658160 has 180 divisors, whose sum is σ = 6615648. Its totient is φ = 370944.

The previous prime is 1658147. The next prime is 1658161. The reversal of 1658160 is 618561.

1658160 is a `hidden beast` number, since 1 + 658 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (1658161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35257 + ... + 35303.

2^1658160 is an apocalyptic number.

1658160 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 1658160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824).

1658160 is an abundant number, since it is smaller than the sum of its proper divisors (4957488).

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

1658160 is a wasteful number, since it uses less digits than its factorization.

1658160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1658160 is about 1287.6956162075. The cubic root of 1658160 is about 118.3610506167.

It can be divided in two parts, 16581 and 60, that added together give a square (16641 = 129²).

The spelling of 1658160 in words is "one million, six hundred fifty-eight thousand, one hundred sixty".