610416 has 60 divisors (see below), whose sum is σ = 1782872. Its totient is φ = 202176.

The previous prime is 610409. The next prime is 610417. The reversal of 610416 is 614016.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610417) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3810 + ... + 3966.

2⁶¹⁰⁴¹⁶ 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 610416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891436).

610416 is an abundant number, since it is smaller than the sum of its proper divisors (1172456).

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

610416 is a wasteful number, since it uses less digits than its factorization.

610416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 610416 is about 781.2912389116. The cubic root of 610416 is about 84.8285355491.

Subtracting 610416 from its reverse (614016), we obtain a square (3600 = 60²).

The spelling of 610416 in words is "six hundred ten thousand, four hundred sixteen".