55846000 has 80 divisors (see below), whose sum is σ = 154365120. Its totient is φ = 19142400.

The previous prime is 55845983. The next prime is 55846009. The reversal of 55846000 is 64855.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 55846000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55846009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12006 + ... + 15994.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^55846000 is an apocalyptic number.

55846000 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 55846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

55846000 is an abundant number, since it is smaller than the sum of its proper divisors (98519120).

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

55846000 is a wasteful number, since it uses less digits than its factorization.

55846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 55846000 is about 7473.0181319197. The cubic root of 55846000 is about 382.2352105335.

The spelling of 55846000 in words is "fifty-five million, eight hundred forty-six thousand".