5311680 has 112 divisors (see below), whose sum is σ = 18434304. Its totient is φ = 1285120.

The previous prime is 5311651. The next prime is 5311703. The reversal of 5311680 is 861135.

5311680 = T₃₇₅ + T₃₇₆ + ... + T₄₃₈.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5311680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10309 + ... + 10811.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 2^5311680 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 5311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

5311680 is an abundant number, since it is smaller than the sum of its proper divisors (13122624).

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

5311680 is a wasteful number, since it uses less digits than its factorization.

5311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5311680 is about 2304.7082244831. The cubic root of 5311680 is about 174.4793231166.

It can be divided in two parts, 531 and 1680, that added together give a triangular number (2211 = T₆₆).

The spelling of 5311680 in words is "five million, three hundred eleven thousand, six hundred eighty".