10680864 has 96 divisors (see below), whose sum is σ = 30030336. Its totient is φ = 3317760.

The previous prime is 10680841. The next prime is 10680871. The reversal of 10680864 is 46808601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10680864² = 228161711572992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110064 + ... + 110160.

It is an arithmetic number, because the mean of its divisors is an integer number (312816).

Almost surely, 2^10680864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015168).

10680864 is an abundant number, since it is smaller than the sum of its proper divisors (19349472).

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

10680864 is a wasteful number, since it uses less digits than its factorization.

10680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10680864 is about 3268.1591148535. The cubic root of 10680864 is about 220.2261036319.

The spelling of 10680864 in words is "ten million, six hundred eighty thousand, eight hundred sixty-four".