612156672 has 108 divisors (see below), whose sum is σ = 1868941620. Its totient is φ = 192036864.

The previous prime is 612156653. The next prime is 612156709. The reversal of 612156672 is 276651216.

It is a happy number.

612156672 is a `hidden beast` number, since 6 + 1 + 21 + 566 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 571401216 + 40755456 = 23904^2 + 6384^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31354 + ... + 46982.

It is an arithmetic number, because the mean of its divisors is an integer number (17305015).

Almost surely, 2^612156672 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 612156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934470810).

612156672 is an abundant number, since it is smaller than the sum of its proper divisors (1256784948).

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

612156672 is a wasteful number, since it uses less digits than its factorization.

612156672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15668 (or 15651 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 612156672 is about 24741.8000961935. The cubic root of 612156672 is about 849.0909182726.

It can be divided in two parts, 612 and 156672, that multiplied together give a square (95883264 = 9792²).

The spelling of 612156672 in words is "six hundred twelve million, one hundred fifty-six thousand, six hundred seventy-two".