612560 has 80 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 207360.

The previous prime is 612553. The next prime is 612583. The reversal of 612560 is 65216.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

612560 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, 19745 + ... + 19775.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁶¹²⁵⁶⁰ 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 612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

612560 is an abundant number, since it is smaller than the sum of its proper divisors (1054000).

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

612560 is a wasteful number, since it uses less digits than its factorization.

612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 612560 is about 782.6621237801. The cubic root of 612560 is about 84.9277355816.

612560 divided by its sum of digits (20) gives a triangular number (30628 = T₂₄₇).

Adding to 612560 its reverse (65216), we get a palindrome (677776).

The spelling of 612560 in words is "six hundred twelve thousand, five hundred sixty".