617676816 has 80 divisors (see below), whose sum is σ = 1645769664. Its totient is φ = 199475712.

The previous prime is 617676809. The next prime is 617676823. The reversal of 617676816 is 618676716.

It is an interprime number because it is at equal distance from previous prime (617676809) and next prime (617676823).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519775 + ... + 520961.

Almost surely, 2^617676816 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 617676816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822884832).

617676816 is an abundant number, since it is smaller than the sum of its proper divisors (1028092848).

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

617676816 is a wasteful number, since it uses less digits than its factorization.

617676816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1522 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 617676816 is about 24853.1047557443. The cubic root of 617676816 is about 851.6355204433.

The spelling of 617676816 in words is "six hundred seventeen million, six hundred seventy-six thousand, eight hundred sixteen".