10577680 has 40 divisors (see below), whose sum is σ = 25891200. Its totient is φ = 4007808.

The previous prime is 10577669. The next prime is 10577681. The reversal of 10577680 is 8677501.

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

It is a super-2 number, since 2×10577680² = 223774628364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10577681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1960 + ... + 4999.

It is an arithmetic number, because the mean of its divisors is an integer number (647280).

Almost surely, 2^10577680 is an apocalyptic number.

10577680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10577680 is an abundant number, since it is smaller than the sum of its proper divisors (15313520).

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

10577680 is a wasteful number, since it uses less digits than its factorization.

10577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 10577680 is about 3252.3345461376. The cubic root of 10577680 is about 219.5146324411.

The spelling of 10577680 in words is "ten million, five hundred seventy-seven thousand, six hundred eighty".