54582240 has 96 divisors (see below), whose sum is σ = 182075040. Its totient is φ = 13697024.

The previous prime is 54582233. The next prime is 54582247. The reversal of 54582240 is 4228545.

It is an interprime number because it is at equal distance from previous prime (54582233) and next prime (54582247).

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

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 = 54582198 and 54582207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54582247) 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, 4816 + ... + 11504.

It is an arithmetic number, because the mean of its divisors is an integer number (1896615).

Almost surely, 2^54582240 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 54582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91037520).

54582240 is an abundant number, since it is smaller than the sum of its proper divisors (127492800).

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

54582240 is a wasteful number, since it uses less digits than its factorization.

54582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 54582240 is about 7387.9794260677. The cubic root of 54582240 is about 379.3299364213.

The spelling of 54582240 in words is "fifty-four million, five hundred eighty-two thousand, two hundred forty".