55299600 has 90 divisors (see below), whose sum is σ = 191917466. Its totient is φ = 14745600.

The previous prime is 55299599. The next prime is 55299649. The reversal of 55299600 is 699255.

It can be written as a sum of positive squares in 3 ways, for example, as 8020224 + 47279376 = 2832^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4081 + ... + 11280.

Almost surely, 2^55299600 is an apocalyptic number.

55299600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55299600 is an abundant number, since it is smaller than the sum of its proper divisors (136617866).

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

55299600 is a wasteful number, since it uses less digits than its factorization.

55299600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15385 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 55299600 is about 7436.3700822377. The cubic root of 55299600 is about 380.9845200068.

It can be divided in two parts, 5529 and 9600, that added together give a square (15129 = 123²).

The spelling of 55299600 in words is "fifty-five million, two hundred ninety-nine thousand, six hundred".