10678160 has 40 divisors (see below), whose sum is σ = 25046016. Its totient is φ = 4233600.

The previous prime is 10678153. The next prime is 10678181. The reversal of 10678160 is 6187601.

10678160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10678160² = 228046201971200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9635 + ... + 10685.

Almost surely, 2^10678160 is an apocalyptic number.

10678160 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 10678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523008).

10678160 is an abundant number, since it is smaller than the sum of its proper divisors (14367856).

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

10678160 is a wasteful number, since it uses less digits than its factorization.

10678160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10678160 is about 3267.7454001192. The cubic root of 10678160 is about 220.2075176935.

The spelling of 10678160 in words is "ten million, six hundred seventy-eight thousand, one hundred sixty".