5260416 has 128 divisors (see below), whose sum is σ = 16972800. Its totient is φ = 1410048.

The previous prime is 5260391. The next prime is 5260417. The reversal of 5260416 is 6140625.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5260417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51021 + ... + 51123.

It is an arithmetic number, because the mean of its divisors is an integer number (132600).

Almost surely, 2^5260416 is an apocalyptic number.

5260416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486400).

5260416 is an abundant number, since it is smaller than the sum of its proper divisors (11712384).

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

5260416 is a wasteful number, since it uses less digits than its factorization.

5260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5260416 is about 2293.5596787527. The cubic root of 5260416 is about 173.9161969283.

The spelling of 5260416 in words is "five million, two hundred sixty thousand, four hundred sixteen".