10686720 has 216 divisors, whose sum is σ = 39146688. Its totient is φ = 2478080.

The previous prime is 10686713. The next prime is 10686733. The reversal of 10686720 is 2768601.

It is a happy number.

It is a super-2 number, since 2×10686720² = 228411968716800, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464629 + ... + 464651.

Almost surely, 2^10686720 is an apocalyptic number.

10686720 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 10686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573344).

10686720 is an abundant number, since it is smaller than the sum of its proper divisors (28459968).

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

10686720 is a wasteful number, since it uses less digits than its factorization.

10686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10686720 is about 3269.0549092972. The cubic root of 10686720 is about 220.2663440858.

The spelling of 10686720 in words is "ten million, six hundred eighty-six thousand, seven hundred twenty".