608640 has 64 divisors (see below), whose sum is σ = 1946160. Its totient is φ = 161792.

The previous prime is 608633. The next prime is 608653. The reversal of 608640 is 46806.

608640 = T₂₅₁ + T₂₅₂ + ... + T₂₆₈.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 608640.

It is a congruent number.

It is an unprimeable number.

608640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1762 + ... + 2078.

2⁶⁰⁸⁶⁴⁰ is an apocalyptic number.

608640 is a gapful number since it is divisible by the number (60) 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 608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973080).

608640 is an abundant number, since it is smaller than the sum of its proper divisors (1337520).

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

608640 is a wasteful number, since it uses less digits than its factorization.

608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 608640 is about 780.1538309846. The cubic root of 608640 is about 84.7461863391.

It can be divided in two parts, 60 and 8640, that multiplied together give a square (518400 = 720²).

The spelling of 608640 in words is "six hundred eight thousand, six hundred forty".