5460840 has 192 divisors, whose sum is σ = 22239360. Its totient is φ = 1128960.

The previous prime is 5460839. The next prime is 5460841. The reversal of 5460840 is 480645.

5460840 is a `hidden beast` number, since 54 + 608 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5460839) and next prime (5460841).

It is not an unprimeable number, because it can be changed into a prime (5460841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27622 + ... + 27818.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

Almost surely, 2^5460840 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 5460840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119680).

5460840 is an abundant number, since it is smaller than the sum of its proper divisors (16778520).

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

5460840 is a wasteful number, since it uses less digits than its factorization.

5460840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

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

The square root of 5460840 is about 2336.8440256038. The cubic root of 5460840 is about 176.0974838739.

The spelling of 5460840 in words is "five million, four hundred sixty thousand, eight hundred forty".