5577000 has 192 divisors, whose sum is σ = 20554560. Its totient is φ = 1248000.

The previous prime is 5576999. The next prime is 5577023. The reversal of 5577000 is 7755.

It is a super-2 number, since 2×5577000² = 62205858000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428994 + ... + 429006.

It is an arithmetic number, because the mean of its divisors is an integer number (107055).

Almost surely, 2^5577000 is an apocalyptic number.

5577000 is a gapful number since it is divisible by the number (50) 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 5577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277280).

5577000 is an abundant number, since it is smaller than the sum of its proper divisors (14977560).

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

5577000 is a wasteful number, since it uses less digits than its factorization.

5577000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 5577000 is about 2361.5672761960. The cubic root of 5577000 is about 177.3373501769.

It can be divided in two parts, 557 and 7000, that added together give a palindrome (7557).

The spelling of 5577000 in words is "five million, five hundred seventy-seven thousand".