10577320 has 32 divisors (see below), whose sum is σ = 25630920. Its totient is φ = 3905280.

The previous prime is 10577317. The next prime is 10577321. The reversal of 10577320 is 2377501.

It can be written as a sum of positive squares in 4 ways, for example, as 7257636 + 3319684 = 2694^2 + 1822^2 .

It is a super-2 number, since 2×10577320² = 223759396764800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10577321) 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, 9651 + ... + 10690.

Almost surely, 2^10577320 is an apocalyptic number.

10577320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10577320 is an abundant number, since it is smaller than the sum of its proper divisors (15053600).

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

10577320 is a wasteful number, since it uses less digits than its factorization.

10577320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 10577320 is about 3252.2792008067. The cubic root of 10577320 is about 219.5121420977.

The spelling of 10577320 in words is "ten million, five hundred seventy-seven thousand, three hundred twenty".