1610016 has 48 divisors (see below), whose sum is σ = 4370688. Its totient is φ = 518400.

The previous prime is 1610009. The next prime is 1610017. The reversal of 1610016 is 6100161.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1609977 and 1610004.

It is not an unprimeable number, because it can be changed into a prime (1610017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2706 + ... + 3246.

It is an arithmetic number, because the mean of its divisors is an integer number (91056).

2^1610016 is an apocalyptic number.

1610016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1610016 is the 803-rd centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185344).

1610016 is an abundant number, since it is smaller than the sum of its proper divisors (2760672).

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

1610016 is a wasteful number, since it uses less digits than its factorization.

1610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1610016 is about 1268.8640589125. The cubic root of 1610016 is about 117.2042600384.

Adding to 1610016 its reverse (6100161), we get a palindrome (7710177).

The spelling of 1610016 in words is "one million, six hundred ten thousand, sixteen".