610880 has 56 divisors (see below), whose sum is σ = 1536192. Its totient is φ = 230912.

The previous prime is 610879. The next prime is 610891. The reversal of 610880 is 88016.

Added to its reverse (88016) it gives a square (698896 = 836²).

It is a hoax number, since the sum of its digits (23) 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 (23).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7319 + ... + 7401.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁶¹⁰⁸⁸⁰ 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 610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096).

610880 is an abundant number, since it is smaller than the sum of its proper divisors (925312).

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

610880 is a wasteful number, since it uses less digits than its factorization.

610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 610880 is about 781.5881268290. The cubic root of 610880 is about 84.8500238847.

Adding to 610880 its reverse (88016), we get a palindrome (698896).

The spelling of 610880 in words is "six hundred ten thousand, eight hundred eighty".