5305608 has 192 divisors, whose sum is σ = 19152000. Its totient is φ = 1330560.

The previous prime is 5305591. The next prime is 5305613. The reversal of 5305608 is 8065035.

5305608 = T₄₀₇ + T₄₀₈ + ... + T₄₆₂.

5305608 is a `hidden beast` number, since 53 + 0 + 5 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182938 + ... + 182966.

It is an arithmetic number, because the mean of its divisors is an integer number (99750).

Almost surely, 2^5305608 is an apocalyptic number.

5305608 is a gapful number since it is divisible by the number (58) 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 5305608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576000).

5305608 is an abundant number, since it is smaller than the sum of its proper divisors (13846392).

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

5305608 is a wasteful number, since it uses less digits than its factorization.

5305608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5305608 is about 2303.3905443932. The cubic root of 5305608 is about 174.4128129351.

The spelling of 5305608 in words is "five million, three hundred five thousand, six hundred eight".