1640160 has 144 divisors (see below), whose sum is σ = 6014736. Its totient is φ = 405504.

The previous prime is 1640147. The next prime is 1640167. The reversal of 1640160 is 610461.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640167) 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, 24447 + ... + 24513.

It is an arithmetic number, because the mean of its divisors is an integer number (41769).

2^1640160 is an apocalyptic number.

1640160 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 1640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007368).

1640160 is an abundant number, since it is smaller than the sum of its proper divisors (4374576).

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

1640160 is a wasteful number, since it uses less digits than its factorization.

1640160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1640160 is about 1280.6873154678. The cubic root of 1640160 is about 117.9312057111.

It can be divided in two parts, 16401 and 60, that added together give a palindrome (16461).

The spelling of 1640160 in words is "one million, six hundred forty thousand, one hundred sixty".