54540288 has 144 divisors (see below), whose sum is σ = 172481400. Its totient is φ = 16465920.

The previous prime is 54540281. The next prime is 54540293. The reversal of 54540288 is 88204545.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (54540281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202618 + ... + 202886.

Almost surely, 2^54540288 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 54540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86240700).

54540288 is an abundant number, since it is smaller than the sum of its proper divisors (117941112).

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

54540288 is a wasteful number, since it uses less digits than its factorization.

54540288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 54540288 is about 7385.1396736961. The cubic root of 54540288 is about 379.2327269730.

It can be divided in two parts, 545402 and 88, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 54540288 in words is "fifty-four million, five hundred forty thousand, two hundred eighty-eight".