10457680 has 40 divisors (see below), whose sum is σ = 24978312. Its totient is φ = 4068864.

The previous prime is 10457653. The next prime is 10457683. The reversal of 10457680 is 8675401.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 5895184 = 2136^2 + 2428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457683) 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, 1194 + ... + 4726.

Almost surely, 2^10457680 is an apocalyptic number.

10457680 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 10457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489156).

10457680 is an abundant number, since it is smaller than the sum of its proper divisors (14520632).

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

10457680 is a wasteful number, since it uses less digits than its factorization.

10457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10457680 is about 3233.8336382690. The cubic root of 10457680 is about 218.6813684014.

The spelling of 10457680 in words is "ten million, four hundred fifty-seven thousand, six hundred eighty".