5460720 has 80 divisors (see below), whose sum is σ = 17251872. Its totient is φ = 1428480.

The previous prime is 5460713. The next prime is 5460727. The reversal of 5460720 is 270645.

5460720 = T₁₅ + T₁₆ + ... + T₃₁₉.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5460713) and next prime (5460727).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460727) 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 15 ways as a sum of consecutive naturals, for example, 14454 + ... + 14826.

Almost surely, 2^5460720 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 5460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625936).

5460720 is an abundant number, since it is smaller than the sum of its proper divisors (11791152).

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

5460720 is a wasteful number, since it uses less digits than its factorization.

5460720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5460720 is about 2336.8183498081. The cubic root of 5460720 is about 176.0961939714.

The spelling of 5460720 in words is "five million, four hundred sixty thousand, seven hundred twenty".