5460960 has 96 divisors (see below), whose sum is σ = 17805312. Its totient is φ = 1405440.

The previous prime is 5460943. The next prime is 5460971. The reversal of 5460960 is 690645.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 14697 + ... + 15063.

It is an arithmetic number, because the mean of its divisors is an integer number (185472).

Almost surely, 2^5460960 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 5460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8902656).

5460960 is an abundant number, since it is smaller than the sum of its proper divisors (12344352).

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

5460960 is a wasteful number, since it uses less digits than its factorization.

5460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5460960 is about 2336.8697011173. The cubic root of 5460960 is about 176.0987737575.

The spelling of 5460960 in words is "five million, four hundred sixty thousand, nine hundred sixty".