54865000 has 40 divisors (see below), whose sum is σ = 128560410. Its totient is φ = 21944000.

The previous prime is 54864991. The next prime is 54865021. The reversal of 54865000 is 56845.

It can be written as a sum of positive squares in 5 ways, for example, as 1077444 + 53787556 = 1038^2 + 7334^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 54865000.

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 9 ways as a sum of consecutive naturals, for example, 487 + ... + 10486.

Almost surely, 2^54865000 is an apocalyptic number.

54865000 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 54865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64280205).

54865000 is an abundant number, since it is smaller than the sum of its proper divisors (73695410).

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

54865000 is a wasteful number, since it uses less digits than its factorization.

54865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999 (or 10980 counting only the distinct ones).

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

The square root of 54865000 is about 7407.0911969544. The cubic root of 54865000 is about 379.9838404947.

The spelling of 54865000 in words is "fifty-four million, eight hundred sixty-five thousand".