612585216 has 108 divisors (see below), whose sum is σ = 1804132512. Its totient is φ = 199815168.

The previous prime is 612585173. The next prime is 612585227.

612585216 is a `hidden beast` number, since 6 + 125 + 8 + 521 + 6 = 666.

612585216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105460 + ... + 111116.

Almost surely, 2^612585216 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 612585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902066256).

612585216 is an abundant number, since it is smaller than the sum of its proper divisors (1191547296).

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

612585216 is a wasteful number, since it uses less digits than its factorization.

612585216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5709 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 612585216 is about 24750.4589048365. The cubic root of 612585216 is about 849.2890091414.

The spelling of 612585216 in words is "six hundred twelve million, five hundred eighty-five thousand, two hundred sixteen".