5460084 has 72 divisors (see below), whose sum is σ = 16144128. Its totient is φ = 1523520.

The previous prime is 5460083. The next prime is 5460101. The reversal of 5460084 is 4800645.

5460084 is a `hidden beast` number, since 54 + 600 + 8 + 4 = 666.

It is a super-3 number, since 3×5460084³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11614 + ... + 12074.

It is an arithmetic number, because the mean of its divisors is an integer number (224224).

Almost surely, 2^5460084 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 5460084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072064).

5460084 is an abundant number, since it is smaller than the sum of its proper divisors (10684044).

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

5460084 is a wasteful number, since it uses less digits than its factorization.

5460084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5460084 is about 2336.6822633811. The cubic root of 5460084 is about 176.0893571729.

The spelling of 5460084 in words is "five million, four hundred sixty thousand, eighty-four".