610264512 has 336 divisors, whose sum is σ = 2130186240. Its totient is φ = 164505600.

The previous prime is 610264511. The next prime is 610264519. The reversal of 610264512 is 215462016.

610264512 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 645 + 12 = 666.

610264512 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 not an unprimeable number, because it can be changed into a prime (610264511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553289 + ... + 2553527.

It is an arithmetic number, because the mean of its divisors is an integer number (6339840).

Almost surely, 2^610264512 is an apocalyptic number.

610264512 is a gapful number since it is divisible by the number (62) 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 610264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065093120).

610264512 is an abundant number, since it is smaller than the sum of its proper divisors (1519921728).

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

610264512 is a wasteful number, since it uses less digits than its factorization.

610264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 610264512 is about 24703.5323789939. The cubic root of 610264512 is about 848.2151762011.

The spelling of 610264512 in words is "six hundred ten million, two hundred sixty-four thousand, five hundred twelve".