55577000 has 64 divisors (see below), whose sum is σ = 131274000. Its totient is φ = 22022400.

The previous prime is 55576999. The next prime is 55577047. The reversal of 55577000 is 77555.

It can be written as a sum of positive squares in 8 ways, for example, as 14884 + 55562116 = 122^2 + 7454^2 .

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148814 + ... + 149186.

Almost surely, 2^55577000 is an apocalyptic number.

55577000 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 55577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65637000).

55577000 is an abundant number, since it is smaller than the sum of its proper divisors (75697000).

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

55577000 is a wasteful number, since it uses less digits than its factorization.

55577000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 6125, while the sum is 29.

The square root of 55577000 is about 7454.9983232728. The cubic root of 55577000 is about 381.6205033908.

The spelling of 55577000 in words is "fifty-five million, five hundred seventy-seven thousand".