55354000 has 80 divisors (see below), whose sum is σ = 144209520. Its totient is φ = 20428800.

The previous prime is 55353997. The next prime is 55354001. The reversal of 55354000 is 45355.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35569296 + 19784704 = 5964^2 + 4448^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55354001) 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, 24936 + ... + 27064.

It is an arithmetic number, because the mean of its divisors is an integer number (1802619).

Almost surely, 2^55354000 is an apocalyptic number.

55354000 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 55354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72104760).

55354000 is an abundant number, since it is smaller than the sum of its proper divisors (88855520).

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

55354000 is a wasteful number, since it uses less digits than its factorization.

55354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 55354000 is about 7440.0268816719. The cubic root of 55354000 is about 381.1094079835.

Adding to 55354000 its reverse (45355), we get a palindrome (55399355).

The spelling of 55354000 in words is "fifty-five million, three hundred fifty-four thousand".