10579680 has 192 divisors, whose sum is σ = 38707200. Its totient is φ = 2695680.

The previous prime is 10579651. The next prime is 10579687. The reversal of 10579680 is 8697501.

10579680 is a `hidden beast` number, since 1 + 0 + 579 + 6 + 80 = 666.

It is a super-2 number, since 2×10579680² = 223859257804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10579687) 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 31 ways as a sum of consecutive naturals, for example, 133881 + ... + 133959.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 2^10579680 is an apocalyptic number.

10579680 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 10579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

10579680 is an abundant number, since it is smaller than the sum of its proper divisors (28127520).

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

10579680 is a wasteful number, since it uses less digits than its factorization.

10579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10579680 is about 3252.6420030492. The cubic root of 10579680 is about 219.5284666529.

The spelling of 10579680 in words is "ten million, five hundred seventy-nine thousand, six hundred eighty".