610400 has 72 divisors (see below), whose sum is σ = 1718640. Its totient is φ = 207360.

The previous prime is 610391. The next prime is 610409. The reversal of 610400 is 4016.

It is an interprime number because it is at equal distance from previous prime (610391) and next prime (610409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610409) by changing a digit.

610400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5546 + ... + 5654.

It is an arithmetic number, because the mean of its divisors is an integer number (23870).

2⁶¹⁰⁴⁰⁰ 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 610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859320).

610400 is an abundant number, since it is smaller than the sum of its proper divisors (1108240).

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

610400 is a wasteful number, since it uses less digits than its factorization.

610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 610400 is about 781.2809993850. The cubic root of 610400 is about 84.8277943778.

Adding to 610400 its reverse (4016), we get a palindrome (614416).

The spelling of 610400 in words is "six hundred ten thousand, four hundred".