612564960 has 192 divisors, whose sum is σ = 2276757504. Its totient is φ = 135475200.

The previous prime is 612564947. The next prime is 612565013. The reversal of 612564960 is 69465216.

612564960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 101220 + ... + 107100.

It is an arithmetic number, because the mean of its divisors is an integer number (11858112).

Almost surely, 2^612564960 is an apocalyptic number.

612564960 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 612564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138378752).

612564960 is an abundant number, since it is smaller than the sum of its proper divisors (1664192544).

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

612564960 is a wasteful number, since it uses less digits than its factorization.

612564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 612564960 is about 24750.0496969198. The cubic root of 612564960 is about 849.2796480559.

The spelling of 612564960 in words is "six hundred twelve million, five hundred sixty-four thousand, nine hundred sixty".