612555840 has 168 divisors, whose sum is σ = 2269147608. Its totient is φ = 150773760.

The previous prime is 612555817. The next prime is 612555859. The reversal of 612555840 is 48555216.

612555840 is a `hidden beast` number, since 61 + 2 + 5 + 558 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 609892416 = 1632^2 + 24696^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 612555795 and 612555804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29260 + ... + 45620.

It is an arithmetic number, because the mean of its divisors is an integer number (13506831).

Almost surely, 2^612555840 is an apocalyptic number.

612555840 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 612555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134573804).

612555840 is an abundant number, since it is smaller than the sum of its proper divisors (1656591768).

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

612555840 is a wasteful number, since it uses less digits than its factorization.

612555840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16397 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 612555840 is about 24749.8654541797. The cubic root of 612555840 is about 849.2754332818.

The spelling of 612555840 in words is "six hundred twelve million, five hundred fifty-five thousand, eight hundred forty".