54195840 has 144 divisors (see below), whose sum is σ = 189094230. Its totient is φ = 14303232.

The previous prime is 54195833. The next prime is 54195871. The reversal of 54195840 is 4859145.

54195840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 41062464 + 13133376 = 6408^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54195795 and 54195804.

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 17 ways as a sum of consecutive naturals, for example, 558672 + ... + 558768.

Almost surely, 2^54195840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94547115).

54195840 is an abundant number, since it is smaller than the sum of its proper divisors (134898390).

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

54195840 is an equidigital number, since it uses as much as digits as its factorization.

54195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 54195840 is about 7361.7823928720. The cubic root of 54195840 is about 378.4326950669.

The spelling of 54195840 in words is "fifty-four million, one hundred ninety-five thousand, eight hundred forty".