5977608 has 192 divisors, whose sum is σ = 20684160. Its totient is φ = 1419264.

The previous prime is 5977607. The next prime is 5977613. The reversal of 5977608 is 8067795.

5977608 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 5⁵ + 9⁵ + 7⁶ + 7⁸ + 6³ + 0 + 8⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 5977608.

It is not an unprimeable number, because it can be changed into a prime (5977603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259885 + ... + 259907.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^5977608 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 5977608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

5977608 is an abundant number, since it is smaller than the sum of its proper divisors (14706552).

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

5977608 is a wasteful number, since it uses less digits than its factorization.

5977608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5977608 is about 2444.9147224392. The cubic root of 5977608 is about 181.4857276910.

The spelling of 5977608 in words is "five million, nine hundred seventy-seven thousand, six hundred eight".