10401680 has 20 divisors (see below), whose sum is σ = 24184092. Its totient is φ = 4160640.

The previous prime is 10401679. The next prime is 10401689. The reversal of 10401680 is 8610401.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 8952064 = 1204^2 + 2992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10401689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 64931 + ... + 65090.

Almost surely, 2^10401680 is an apocalyptic number.

10401680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401680 is an abundant number, since it is smaller than the sum of its proper divisors (13782412).

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

10401680 is a wasteful number, since it uses less digits than its factorization.

10401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130034 (or 130028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10401680 is about 3225.1635617438. The cubic root of 10401680 is about 218.2903294412.

The spelling of 10401680 in words is "ten million, four hundred one thousand, six hundred eighty".