5577632 has 24 divisors (see below), whose sum is σ = 11628036. Its totient is φ = 2624512.

The previous prime is 5577623. The next prime is 5577643. The reversal of 5577632 is 2367755.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 26896 = 2356^2 + 164^2 .

It is a super-2 number, since 2×5577632² = 62219957454848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5577592 and 5577601.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4583 + ... + 5670.

Almost surely, 2^5577632 is an apocalyptic number.

It is an amenable number.

5577632 is an abundant number, since it is smaller than the sum of its proper divisors (6050404).

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

5577632 is a wasteful number, since it uses less digits than its factorization.

5577632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 10272 counting only the distinct ones).

The product of its digits is 44100, while the sum is 35.

The square root of 5577632 is about 2361.7010818476. The cubic root of 5577632 is about 177.3440486989.

The spelling of 5577632 in words is "five million, five hundred seventy-seven thousand, six hundred thirty-two".