1613664 has 72 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 495360.

The previous prime is 1613653. The next prime is 1613669. The reversal of 1613664 is 4663161.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3529 + ... + 3959.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

2^1613664 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 1613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

1613664 is an abundant number, since it is smaller than the sum of its proper divisors (3339648).

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

1613664 is a wasteful number, since it uses less digits than its factorization.

1613664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1613664 is about 1270.3007517907. The cubic root of 1613664 is about 117.2927143605.

The spelling of 1613664 in words is "one million, six hundred thirteen thousand, six hundred sixty-four".