54035800 has 96 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 17095680.

The previous prime is 54035777. The next prime is 54035819. The reversal of 54035800 is 853045.

It is a happy number.

It is a super-3 number, since 3×54035800³ (a number of 24 digits) contains 333 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16716 + ... + 19684.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^54035800 is an apocalyptic number.

54035800 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 54035800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

54035800 is an abundant number, since it is smaller than the sum of its proper divisors (100641800).

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

54035800 is a wasteful number, since it uses less digits than its factorization.

54035800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 54035800 is about 7350.9047062249. The cubic root of 54035800 is about 378.0598246158.

Adding to 54035800 its reverse (853045), we get a palindrome (54888845).

The spelling of 54035800 in words is "fifty-four million, thirty-five thousand, eight hundred".