10616320 has 160 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3440640.

The previous prime is 10616303. The next prime is 10616323. The reversal of 10616320 is 2361601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10616320² = 225412500684800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10616323) 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, 366066 + ... + 366094.

It is an arithmetic number, because the mean of its divisors is an integer number (193347).

Almost surely, 2^10616320 is an apocalyptic number.

10616320 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 10616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

10616320 is an abundant number, since it is smaller than the sum of its proper divisors (20319200).

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

10616320 is a wasteful number, since it uses less digits than its factorization.

10616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 10616320 is about 3258.2694793402. The cubic root of 10616320 is about 219.7816014448.

Adding to 10616320 its reverse (2361601), we get a palindrome (12977921).

It can be divided in two parts, 1061 and 6320, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 10616320 in words is "ten million, six hundred sixteen thousand, three hundred twenty".