55641600 has 480 divisors, whose sum is σ = 243555840. Its totient is φ = 12165120.

The previous prime is 55641583. The next prime is 55641631. The reversal of 55641600 is 614655.

It is a happy number.

55641600 is a `hidden beast` number, since 5 + 56 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419189 + ... + 2419211.

It is an arithmetic number, because the mean of its divisors is an integer number (507408).

Almost surely, 2^55641600 is an apocalyptic number.

55641600 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 55641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121777920).

55641600 is an abundant number, since it is smaller than the sum of its proper divisors (187914240).

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

55641600 is a wasteful number, since it uses less digits than its factorization.

55641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55641600 is about 7459.3297286016. The cubic root of 55641600 is about 381.7683051732.

The spelling of 55641600 in words is "fifty-five million, six hundred forty-one thousand, six hundred".