617979648 has 288 divisors, whose sum is σ = 2052110592. Its totient is φ = 162201600.

The previous prime is 617979643. The next prime is 617979679. The reversal of 617979648 is 846979716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617979643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866843 + ... + 1867173.

It is an arithmetic number, because the mean of its divisors is an integer number (7125384).

Almost surely, 2^617979648 is an apocalyptic number.

617979648 is a gapful number since it is divisible by the number (68) 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 617979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026055296).

617979648 is an abundant number, since it is smaller than the sum of its proper divisors (1434130944).

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

617979648 is a wasteful number, since it uses less digits than its factorization.

617979648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 57.

The square root of 617979648 is about 24859.1964471903. The cubic root of 617979648 is about 851.7746764685.

The spelling of 617979648 in words is "six hundred seventeen million, nine hundred seventy-nine thousand, six hundred forty-eight".