610080 has 96 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 153600.

The previous prime is 610063. The next prime is 610081. The reversal of 610080 is 80016.

610080 = 125² + 126² + ... + 155².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (610081) by changing a digit.

610080 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 15 ways as a sum of consecutive naturals, for example, 14860 + ... + 14900.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁶¹⁰⁰⁸⁰ is an apocalyptic number.

610080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

610080 is an abundant number, since it is smaller than the sum of its proper divisors (1422048).

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

610080 is a wasteful number, since it uses less digits than its factorization.

610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 610080 is about 781.0761806636. The cubic root of 610080 is about 84.8129682315.

Adding to 610080 its reverse (80016), we get a palindrome (690096).

The spelling of 610080 in words is "six hundred ten thousand, eighty".