10678720 has 112 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 3686400.

The previous prime is 10678711. The next prime is 10678751. The reversal of 10678720 is 2787601.

It is a happy number.

It is a super-2 number, since 2×10678720² = 228070121676800, which contains 22 as substring.

It is a congruent number.

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, 70645 + ... + 70795.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 2^10678720 is an apocalyptic number.

10678720 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 10678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

10678720 is an abundant number, since it is smaller than the sum of its proper divisors (18508928).

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

10678720 is a wasteful number, since it uses less digits than its factorization.

10678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 10678720 is about 3267.8310849859. The cubic root of 10678720 is about 220.2113671099.

The spelling of 10678720 in words is "ten million, six hundred seventy-eight thousand, seven hundred twenty".