610407 has 12 divisors (see below), whose sum is σ = 1007760. Its totient is φ = 348768.

The previous prime is 610391. The next prime is 610409. The reversal of 610407 is 704016.

It is not a de Polignac number, because 610407 - 2⁴ = 610391 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 610407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610409) 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, 4782 + ... + 4907.

It is an arithmetic number, because the mean of its divisors is an integer number (83980).

2⁶¹⁰⁴⁰⁷ is an apocalyptic number.

610407 is a deficient number, since it is larger than the sum of its proper divisors (397353).

610407 is a wasteful number, since it uses less digits than its factorization.

610407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 610407 is about 781.2854791944. The cubic root of 610407 is about 84.8281186418.

The spelling of 610407 in words is "six hundred ten thousand, four hundred seven".