612309672 has 256 divisors, whose sum is σ = 1974067200. Its totient is φ = 174182400.

The previous prime is 612309653. The next prime is 612309673. The reversal of 612309672 is 276903216.

612309672 is a `hidden beast` number, since 612 + 30 + 9 + 6 + 7 + 2 = 666.

612309672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (612309673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4821273 + ... + 4821399.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^612309672 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 612309672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

612309672 is an abundant number, since it is smaller than the sum of its proper divisors (1361757528).

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

612309672 is a wasteful number, since it uses less digits than its factorization.

612309672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 612309672 is about 24744.8918364983. The cubic root of 612309672 is about 849.1616518472.

The spelling of 612309672 in words is "six hundred twelve million, three hundred nine thousand, six hundred seventy-two".