608648040 has 512 divisors, whose sum is σ = 2728857600. Its totient is φ = 116536320.

The previous prime is 608648009. The next prime is 608648041. The reversal of 608648040 is 40846806.

608648040 is a `hidden beast` number, since 6 + 0 + 8 + 648 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 608647986 and 608648004.

It is not an unprimeable number, because it can be changed into a prime (608648041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1080799 + ... + 1081361.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2^608648040 is an apocalyptic number.

608648040 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 608648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364428800).

608648040 is an abundant number, since it is smaller than the sum of its proper divisors (2120209560).

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

608648040 is a wasteful number, since it uses less digits than its factorization.

608648040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 608648040 is about 24670.7932584260. The cubic root of 608648040 is about 847.4655949695.

The spelling of 608648040 in words is "six hundred eight million, six hundred forty-eight thousand, forty".