4000608 has 72 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1284864.

The previous prime is 4000589. The next prime is 4000631. The reversal of 4000608 is 8060004.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8113 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^4000608 is an apocalyptic number.

4000608 is a gapful number since it is divisible by the number (48) 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 4000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4000608 is an abundant number, since it is smaller than the sum of its proper divisors (7792992).

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

4000608 is a wasteful number, since it uses less digits than its factorization.

4000608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4000608 is about 2000.1519942244. The cubic root of 4000608 is about 158.7481476213.

The spelling of 4000608 in words is "four million, six hundred eight", and thus it is an aban number.