1620168 has 96 divisors (see below), whose sum is σ = 4937760. Its totient is φ = 437760.

The previous prime is 1620161. The next prime is 1620209. The reversal of 1620168 is 8610261.

1620168 = T₄₄₂ + T₄₄₃ + ... + T₄₅₇.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85263 + ... + 85281.

It is an arithmetic number, because the mean of its divisors is an integer number (51435).

2^1620168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1620168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468880).

1620168 is an abundant number, since it is smaller than the sum of its proper divisors (3317592).

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

1620168 is a wasteful number, since it uses less digits than its factorization.

1620168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1620168 is about 1272.8582010578. The cubic root of 1620168 is about 117.4500889575.

The spelling of 1620168 in words is "one million, six hundred twenty thousand, one hundred sixty-eight".