742608 has 60 divisors (see below), whose sum is σ = 2166528. Its totient is φ = 246240.

The previous prime is 742607. The next prime is 742619. The reversal of 742608 is 806247.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742608.

It is not an unprimeable number, because it can be changed into a prime (742607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3793 + ... + 3983.

2⁷⁴²⁶⁰⁸ 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 742608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083264).

742608 is an abundant number, since it is smaller than the sum of its proper divisors (1423920).

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

742608 is a wasteful number, since it uses less digits than its factorization.

742608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 742608 is about 861.7470626582. The cubic root of 742608 is about 90.5565512469.

The spelling of 742608 in words is "seven hundred forty-two thousand, six hundred eight".