8616160 has 96 divisors (see below), whose sum is σ = 23889600. Its totient is φ = 2935296.

The previous prime is 8616151. The next prime is 8616169. The reversal of 8616160 is 616168.

It is an interprime number because it is at equal distance from previous prime (8616151) and next prime (8616169).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8616169) 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, 54802 + ... + 54958.

It is an arithmetic number, because the mean of its divisors is an integer number (248850).

Almost surely, 2^8616160 is an apocalyptic number.

8616160 is a gapful number since it is divisible by the number (80) 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 8616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944800).

8616160 is an abundant number, since it is smaller than the sum of its proper divisors (15273440).

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

8616160 is a wasteful number, since it uses less digits than its factorization.

8616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 8616160 is about 2935.3296237390. The cubic root of 8616160 is about 205.0082090704.

8616160 divided by its sum of digits (28) gives a triangular number (307720 = T₇₈₄).

It can be divided in two parts, 861 and 6160, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 8616160 in words is "eight million, six hundred sixteen thousand, one hundred sixty".