616400 has 60 divisors (see below), whose sum is σ = 1568352. Its totient is φ = 232320.

The previous prime is 616393. The next prime is 616409. The reversal of 616400 is 4616.

616400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9167 + ... + 9233.

2⁶¹⁶⁴⁰⁰ 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 616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784176).

616400 is an abundant number, since it is smaller than the sum of its proper divisors (951952).

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

616400 is a wasteful number, since it uses less digits than its factorization.

616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 616400 is about 785.1114570556. Note that the first 3 decimals coincide. The cubic root of 616400 is about 85.1048302908.

The spelling of 616400 in words is "six hundred sixteen thousand, four hundred".