610872 has 16 divisors (see below), whose sum is σ = 1527240. Its totient is φ = 203616.

The previous prime is 610867. The next prime is 610877. The reversal of 610872 is 278016.

It is an interprime number because it is at equal distance from previous prime (610867) and next prime (610877).

It is a hoax number, since the sum of its digits (24) 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 (24), and also a Moran number because the ratio is a prime number: 25453 = 610872 / (6 + 1 + 0 + 8 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12703 + ... + 12750.

2⁶¹⁰⁸⁷² is an apocalyptic number.

It is an amenable number.

610872 is an abundant number, since it is smaller than the sum of its proper divisors (916368).

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

610872 is a wasteful number, since it uses less digits than its factorization.

610872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25462 (or 25458 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 610872 is about 781.5830090272. The cubic root of 610872 is about 84.8496534883.

Adding to 610872 its reverse (278016), we get a palindrome (888888).

It can be divided in two parts, 6 and 10872, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 610872 in words is "six hundred ten thousand, eight hundred seventy-two".