55677618 has 96 divisors (see below), whose sum is σ = 138692736. Its totient is φ = 16651008.

The previous prime is 55677617. The next prime is 55677673. The reversal of 55677618 is 81677655.

55677618 is a `hidden beast` number, since 5 + 567 + 76 + 18 = 666.

Its product of digits (352800) is a multiple of the sum of its prime factors (350).

It is not an unprimeable number, because it can be changed into a prime (55677617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189880 + ... + 190172.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^55677618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55677618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

55677618 is an abundant number, since it is smaller than the sum of its proper divisors (83015118).

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

55677618 is a wasteful number, since it uses less digits than its factorization.

55677618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

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

The square root of 55677618 is about 7461.7436300103. The cubic root of 55677618 is about 381.8506630067.

The spelling of 55677618 in words is "fifty-five million, six hundred seventy-seven thousand, six hundred eighteen".