10466720 has 96 divisors (see below), whose sum is σ = 28486080. Its totient is φ = 3594240.

The previous prime is 10466717. The next prime is 10466737. The reversal of 10466720 is 2766401.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10466720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33284 + ... + 33596.

It is an arithmetic number, because the mean of its divisors is an integer number (296730).

Almost surely, 2^10466720 is an apocalyptic number.

10466720 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 10466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243040).

10466720 is an abundant number, since it is smaller than the sum of its proper divisors (18019360).

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

10466720 is a wasteful number, since it uses less digits than its factorization.

10466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 10466720 is about 3235.2310582090. The cubic root of 10466720 is about 218.7443623037.

The spelling of 10466720 in words is "ten million, four hundred sixty-six thousand, seven hundred twenty".