10406720 has 56 divisors (see below), whose sum is σ = 26252424. Its totient is φ = 3915776.

The previous prime is 10406719. The next prime is 10406723. The reversal of 10406720 is 2760401.

It can be written as a sum of positive squares in 4 ways, for example, as 4096576 + 6310144 = 2024^2 + 2512^2 .

It is a super-3 number, since 3×10406720³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10406692 and 10406701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4484 + ... + 6396.

Almost surely, 2^10406720 is an apocalyptic number.

10406720 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 10406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126212).

10406720 is an abundant number, since it is smaller than the sum of its proper divisors (15845704).

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

10406720 is a wasteful number, since it uses less digits than its factorization.

10406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10406720 is about 3225.9448228387. The cubic root of 10406720 is about 218.3255803371.

The spelling of 10406720 in words is "ten million, four hundred six thousand, seven hundred twenty".