9851616 has 72 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3234816.

The previous prime is 9851591. The next prime is 9851617. The reversal of 9851616 is 6161589.

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

It is a super-2 number, since 2×9851616² = 194108675622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9851617) 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, 22536 + ... + 22968.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^9851616 is an apocalyptic number.

9851616 is a gapful number since it is divisible by the number (96) 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 9851616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

9851616 is an abundant number, since it is smaller than the sum of its proper divisors (18584064).

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

9851616 is a wasteful number, since it uses less digits than its factorization.

9851616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 517 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 9851616 is about 3138.7284049436. The cubic root of 9851616 is about 214.3725423365.

It can be divided in two parts, 985 and 1616, that added together give a square (2601 = 51²).

The spelling of 9851616 in words is "nine million, eight hundred fifty-one thousand, six hundred sixteen".