55605816 has 96 divisors (see below), whose sum is σ = 177715200. Its totient is φ = 15370560.

The previous prime is 55605749. The next prime is 55605817. The reversal of 55605816 is 61850655.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55605817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13845 + ... + 17403.

It is an arithmetic number, because the mean of its divisors is an integer number (1851200).

Almost surely, 2^55605816 is an apocalyptic number.

55605816 is a gapful number since it is divisible by the number (56) 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 55605816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88857600).

55605816 is an abundant number, since it is smaller than the sum of its proper divisors (122109384).

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

55605816 is a wasteful number, since it uses less digits than its factorization.

55605816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55605816 is about 7456.9307358993. The cubic root of 55605816 is about 381.6864471949.

The spelling of 55605816 in words is "fifty-five million, six hundred five thousand, eight hundred sixteen".