54810840 has 128 divisors (see below), whose sum is σ = 196162560. Its totient is φ = 11979264.

The previous prime is 54810803. The next prime is 54810887. The reversal of 54810840 is 4801845.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54810798 and 54810807.

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 31 ways as a sum of consecutive naturals, for example, 17902 + ... + 20738.

It is an arithmetic number, because the mean of its divisors is an integer number (1532520).

Almost surely, 2^54810840 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 54810840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98081280).

54810840 is an abundant number, since it is smaller than the sum of its proper divisors (141351720).

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

54810840 is a wasteful number, since it uses less digits than its factorization.

54810840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 54810840 is about 7403.4343381974. The cubic root of 54810840 is about 379.8587656119.

The spelling of 54810840 in words is "fifty-four million, eight hundred ten thousand, eight hundred forty".