5577968 has 40 divisors (see below), whose sum is σ = 12092976. Its totient is φ = 2470400.

The previous prime is 5577959. The next prime is 5577977. The reversal of 5577968 is 8697755.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5577959) and next prime (5577977).

It is a super-2 number, since 2×5577968² = 62227454018048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 6830 + ... + 7602.

Almost surely, 2^5577968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5577968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046488).

5577968 is an abundant number, since it is smaller than the sum of its proper divisors (6515008).

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

5577968 is a wasteful number, since it uses less digits than its factorization.

5577968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its digits is 529200, while the sum is 47.

The square root of 5577968 is about 2361.7722159429. The cubic root of 5577968 is about 177.3476097325.

The spelling of 5577968 in words is "five million, five hundred seventy-seven thousand, nine hundred sixty-eight".