617674016 has 96 divisors (see below), whose sum is σ = 1345196160. Its totient is φ = 278175744.

The previous prime is 617674007. The next prime is 617674027. The reversal of 617674016 is 610476716.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917456 + ... + 918128.

It is an arithmetic number, because the mean of its divisors is an integer number (14012460).

Almost surely, 2^617674016 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 617674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672598080).

617674016 is an abundant number, since it is smaller than the sum of its proper divisors (727522144).

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

617674016 is a wasteful number, since it uses less digits than its factorization.

617674016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 617674016 is about 24853.0484246903. The cubic root of 617674016 is about 851.6342335875.

The spelling of 617674016 in words is "six hundred seventeen million, six hundred seventy-four thousand, sixteen".