607647040 has 336 divisors, whose sum is σ = 1984760064. Its totient is φ = 174182400.

The previous prime is 607647017. The next prime is 607647119. The reversal of 607647040 is 40746706.

It is a junction number, because it is equal to n+sod(n) for n = 607646987 and 607647005.

It is a congruent number.

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, 2242105 + ... + 2242375.

It is an arithmetic number, because the mean of its divisors is an integer number (5907024).

Almost surely, 2^607647040 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 607647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992380032).

607647040 is an abundant number, since it is smaller than the sum of its proper divisors (1377113024).

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

607647040 is a wasteful number, since it uses less digits than its factorization.

607647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 607647040 is about 24650.4977637369. The cubic root of 607647040 is about 847.0007513141. Note that the first 3 decimals are identical.

The spelling of 607647040 in words is "six hundred seven million, six hundred forty-seven thousand, forty".