608791680 has 384 divisors, whose sum is σ = 2511648000. Its totient is φ = 138958848.

The previous prime is 608791679. The next prime is 608791753. The reversal of 608791680 is 86197806.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 846361 + ... + 847079.

It is an arithmetic number, because the mean of its divisors is an integer number (6540750).

Almost surely, 2^608791680 is an apocalyptic number.

608791680 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 608791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255824000).

608791680 is an abundant number, since it is smaller than the sum of its proper divisors (1902856320).

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

608791680 is a wasteful number, since it uses less digits than its factorization.

608791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 608791680 is about 24673.7042212960. The cubic root of 608791680 is about 847.5322565842.

The spelling of 608791680 in words is "six hundred eight million, seven hundred ninety-one thousand, six hundred eighty".