612624320 has 336 divisors, whose sum is σ = 1941746688. Its totient is φ = 178759680.

The previous prime is 612624293. The next prime is 612624347. The reversal of 612624320 is 23426216.

It is an interprime number because it is at equal distance from previous prime (612624293) and next prime (612624347).

It is a self number, because there is not a number n which added to its sum of digits gives 612624320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13034537 + ... + 13034583.

It is an arithmetic number, because the mean of its divisors is an integer number (5779008).

Almost surely, 2^612624320 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 612624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970873344).

612624320 is an abundant number, since it is smaller than the sum of its proper divisors (1329122368).

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

612624320 is a wasteful number, since it uses less digits than its factorization.

612624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 612624320 is about 24751.2488573809. The cubic root of 612624320 is about 849.3070800372.

The spelling of 612624320 in words is "six hundred twelve million, six hundred twenty-four thousand, three hundred twenty".