1613920 has 96 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 499200.

The previous prime is 1613873. The next prime is 1613921. The reversal of 1613920 is 293161.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1613891 and 1613900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12255 + ... + 12385.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2^1613920 is an apocalyptic number.

1613920 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 1613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

1613920 is an abundant number, since it is smaller than the sum of its proper divisors (3176096).

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

1613920 is a wasteful number, since it uses less digits than its factorization.

1613920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1613920 is about 1270.4015113341. The cubic root of 1613920 is about 117.2989166734.

The spelling of 1613920 in words is "one million, six hundred thirteen thousand, nine hundred twenty".