617440 has 48 divisors (see below), whose sum is σ = 1551312. Its totient is φ = 231424.

The previous prime is 617429. The next prime is 617447. The reversal of 617440 is 44716.

617440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2607 + ... + 2833.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

2⁶¹⁷⁴⁴⁰ is an apocalyptic number.

617440 is the 454-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656).

617440 is an abundant number, since it is smaller than the sum of its proper divisors (933872).

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

617440 is a wasteful number, since it uses less digits than its factorization.

617440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 617440 is about 785.7735042619. The cubic root of 617440 is about 85.1526668105.

The spelling of 617440 in words is "six hundred seventeen thousand, four hundred forty".