8611680 has 192 divisors, whose sum is σ = 33965568. Its totient is φ = 1781760.

The previous prime is 8611679. The next prime is 8611697. The reversal of 8611680 is 861168.

It is a super-2 number, since 2×8611680² = 148322064844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36844 + ... + 37076.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^8611680 is an apocalyptic number.

8611680 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 8611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

8611680 is an abundant number, since it is smaller than the sum of its proper divisors (25353888).

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

8611680 is a wasteful number, since it uses less digits than its factorization.

8611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8611680 is about 2934.5664074953. The cubic root of 8611680 is about 204.9726713520.

The spelling of 8611680 in words is "eight million, six hundred eleven thousand, six hundred eighty".