612577672 has 48 divisors (see below), whose sum is σ = 1359596160. Its totient is φ = 253460928.

The previous prime is 612577663. The next prime is 612577673. The reversal of 612577672 is 276775216.

It is not an unprimeable number, because it can be changed into a prime (612577673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40593 + ... + 53599.

It is an arithmetic number, because the mean of its divisors is an integer number (28324920).

Almost surely, 2^612577672 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 612577672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679798080).

612577672 is an abundant number, since it is smaller than the sum of its proper divisors (747018488).

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

612577672 is a wasteful number, since it uses less digits than its factorization.

612577672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13078 (or 13045 counting only the distinct ones).

The product of its digits is 246960, while the sum is 43.

The square root of 612577672 is about 24750.3065031526. The cubic root of 612577672 is about 849.2855227897.

The spelling of 612577672 in words is "six hundred twelve million, five hundred seventy-seven thousand, six hundred seventy-two".