55819600 has 60 divisors (see below), whose sum is σ = 136688796. Its totient is φ = 21898240.

The previous prime is 55819571. The next prime is 55819607. The reversal of 55819600 is 691855.

It can be written as a sum of positive squares in 6 ways, for example, as 2471184 + 53348416 = 1572^2 + 7304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55819607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19884 + ... + 22516.

Almost surely, 2^55819600 is an apocalyptic number.

55819600 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 55819600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68344398).

55819600 is an abundant number, since it is smaller than the sum of its proper divisors (80869196).

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

55819600 is a wasteful number, since it uses less digits than its factorization.

55819600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 55819600 is about 7471.2515685125. The cubic root of 55819600 is about 382.1749698713.

The spelling of 55819600 in words is "fifty-five million, eight hundred nineteen thousand, six hundred".