55735000 has 80 divisors (see below), whose sum is σ = 133269840. Its totient is φ = 21840000.

The previous prime is 55734967. The next prime is 55735019. The reversal of 55735000 is 53755.

It is a happy number.

55735000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354922 + ... + 355078.

It is an arithmetic number, because the mean of its divisors is an integer number (1665873).

Almost surely, 2^55735000 is an apocalyptic number.

55735000 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 55735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66634920).

55735000 is an abundant number, since it is smaller than the sum of its proper divisors (77534840).

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

55735000 is a wasteful number, since it uses less digits than its factorization.

55735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 55735000 is about 7465.5877196641. The cubic root of 55735000 is about 381.9817978772.

Adding to 55735000 its reverse (53755), we get a palindrome (55788755).

The spelling of 55735000 in words is "fifty-five million, seven hundred thirty-five thousand".