612193300 has 72 divisors (see below), whose sum is σ = 1459281600. Its totient is φ = 221886720.

The previous prime is 612193297. The next prime is 612193303. The reversal of 612193300 is 3391216.

It is an interprime number because it is at equal distance from previous prime (612193297) and next prime (612193303).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612193303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36696 + ... + 50704.

It is an arithmetic number, because the mean of its divisors is an integer number (20267800).

Almost surely, 2^612193300 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 612193300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729640800).

612193300 is an abundant number, since it is smaller than the sum of its proper divisors (847088300).

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

612193300 is a wasteful number, since it uses less digits than its factorization.

612193300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 612193300 is about 24742.5402899541. The cubic root of 612193300 is about 849.1078528708.

It can be divided in two parts, 61 and 2193300, that added together give a square (2193361 = 1481²).

The spelling of 612193300 in words is "six hundred twelve million, one hundred ninety-three thousand, three hundred".