10001610 has 64 divisors (see below), whose sum is σ = 28252800. Its totient is φ = 2509056.

The previous prime is 10001603. The next prime is 10001617. The reversal of 10001610 is 1610001.

It is an interprime number because it is at equal distance from previous prime (10001603) and next prime (10001617).

It is a super-3 number, since 3×10001610³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001592 and 10001601.

It is not an unprimeable number, because it can be changed into a prime (10001617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3501 + ... + 5679.

It is an arithmetic number, because the mean of its divisors is an integer number (441450).

Almost surely, 2^10001610 is an apocalyptic number.

10001610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126400).

10001610 is an abundant number, since it is smaller than the sum of its proper divisors (18251190).

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

10001610 is a wasteful number, since it uses less digits than its factorization.

10001610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10001610 is about 3162.5322132747. The cubic root of 10001610 is about 215.4550305156.

Adding to 10001610 its reverse (1610001), we get a palindrome (11611611).

The spelling of 10001610 in words is "ten million, one thousand, six hundred ten".