612880 has 40 divisors (see below), whose sum is σ = 1464192. Its totient is φ = 238464.

The previous prime is 612877. The next prime is 612889. The reversal of 612880 is 88216.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (612889) 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 7 ways as a sum of consecutive naturals, for example, 3679 + ... + 3841.

2⁶¹²⁸⁸⁰ 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 612880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732096).

612880 is an abundant number, since it is smaller than the sum of its proper divisors (851312).

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

612880 is a wasteful number, since it uses less digits than its factorization.

612880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 612880 is about 782.8665275767. The cubic root of 612880 is about 84.9425216947.

The spelling of 612880 in words is "six hundred twelve thousand, eight hundred eighty".