55848600 has 288 divisors, whose sum is σ = 208915200. Its totient is φ = 13305600.

The previous prime is 55848571. The next prime is 55848607. The reversal of 55848600 is 684855.

It is a happy number.

55848600 is a `hidden beast` number, since 5 + 5 + 8 + 48 + 600 = 666.

It is a super-2 number, since 2×55848600² = 6238132243920000, which contains 22 as substring.

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 (55848607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 786565 + ... + 786635.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^55848600 is an apocalyptic number.

55848600 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 55848600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

55848600 is an abundant number, since it is smaller than the sum of its proper divisors (153066600).

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

55848600 is a wasteful number, since it uses less digits than its factorization.

55848600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 55848600 is about 7473.1920890607. The cubic root of 55848600 is about 382.2411422990.

The spelling of 55848600 in words is "fifty-five million, eight hundred forty-eight thousand, six hundred".