612936960 has 288 divisors, whose sum is σ = 2134917120. Its totient is φ = 149299200.

The previous prime is 612936937. The next prime is 612936977. The reversal of 612936960 is 69639216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261625 + ... + 2261895.

Almost surely, 2^612936960 is an apocalyptic number.

612936960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067458560).

612936960 is an abundant number, since it is smaller than the sum of its proper divisors (1521980160).

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

612936960 is a wasteful number, since it uses less digits than its factorization.

612936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 612936960 is about 24757.5636927384. The cubic root of 612936960 is about 849.4515308318.

The spelling of 612936960 in words is "six hundred twelve million, nine hundred thirty-six thousand, nine hundred sixty".