54945888 has 96 divisors (see below), whose sum is σ = 153216000. Its totient is φ = 17210880.

The previous prime is 54945881. The next prime is 54945893. The reversal of 54945888 is 88854945.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 54945888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54945881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109863 + ... + 110361.

It is an arithmetic number, because the mean of its divisors is an integer number (1596000).

Almost surely, 2^54945888 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 54945888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608000).

54945888 is an abundant number, since it is smaller than the sum of its proper divisors (98270112).

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

54945888 is a wasteful number, since it uses less digits than its factorization.

54945888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 51.

The square root of 54945888 is about 7412.5493590262. The cubic root of 54945888 is about 380.1704867500.

The spelling of 54945888 in words is "fifty-four million, nine hundred forty-five thousand, eight hundred eighty-eight".