5577984 has 90 divisors (see below), whose sum is σ = 16694370. Its totient is φ = 1852416.

The previous prime is 5577977. The next prime is 5577991. The reversal of 5577984 is 4897755.

5577984 is a `hidden beast` number, since 557 + 7 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5577977) and next prime (5577991).

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 2073600 = 1872^2 + 1440^2 .

It is a super-2 number, since 2×5577984² = 62227811008512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20602 + ... + 20870.

It is an arithmetic number, because the mean of its divisors is an integer number (185493).

Almost surely, 2^5577984 is an apocalyptic number.

5577984 is a gapful number since it is divisible by the number (54) 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 5577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347185).

5577984 is an abundant number, since it is smaller than the sum of its proper divisors (11116386).

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

5577984 is an equidigital number, since it uses as much as digits as its factorization.

5577984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 5577984 is about 2361.7756032274. The cubic root of 5577984 is about 177.3477793019.

It can be divided in two parts, 5577 and 984, that added together give a 8-th power (6561 = 3⁸).

The spelling of 5577984 in words is "five million, five hundred seventy-seven thousand, nine hundred eighty-four".