54915840 has 288 divisors, whose sum is σ = 223695360. Its totient is φ = 12496896.

The previous prime is 54915811. The next prime is 54915863. The reversal of 54915840 is 4851945.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 54915795 and 54915804.

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, 241807 + ... + 242033.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 2^54915840 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 54915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111847680).

54915840 is an abundant number, since it is smaller than the sum of its proper divisors (168779520).

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

54915840 is a wasteful number, since it uses less digits than its factorization.

54915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

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

The square root of 54915840 is about 7410.5222488027. The cubic root of 54915840 is about 380.1011734299.

It can be divided in two parts, 54915 and 840, that added together give a palindrome (55755).

The spelling of 54915840 in words is "fifty-four million, nine hundred fifteen thousand, eight hundred forty".