617947440 has 160 divisors (see below), whose sum is σ = 2180860416. Its totient is φ = 143278080.

The previous prime is 617947439. The next prime is 617947441. The reversal of 617947440 is 44749716.

It is an interprime number because it is at equal distance from previous prime (617947439) and next prime (617947441).

It is a junction number, because it is equal to n+sod(n) for n = 617947392 and 617947401.

It is not an unprimeable number, because it can be changed into a prime (617947441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55632 + ... + 65808.

Almost surely, 2^617947440 is an apocalyptic number.

617947440 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 617947440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090430208).

617947440 is an abundant number, since it is smaller than the sum of its proper divisors (1562912976).

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

617947440 is a wasteful number, since it uses less digits than its factorization.

617947440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 617947440 is about 24858.5486301996. The cubic root of 617947440 is about 851.7598785511.

The spelling of 617947440 in words is "six hundred seventeen million, nine hundred forty-seven thousand, four hundred forty".