612343440 has 120 divisors (see below), whose sum is σ = 2062060728. Its totient is φ = 162846720.

The previous prime is 612343429. The next prime is 612343447. The reversal of 612343440 is 44343216.

612343440 is a `hidden beast` number, since 612 + 3 + 4 + 3 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 598683024 = 3696^2 + 24468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×612343440² = 749928977022067200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612343447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328110 + ... + 329970.

Almost surely, 2^612343440 is an apocalyptic number.

612343440 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 612343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031030364).

612343440 is an abundant number, since it is smaller than the sum of its proper divisors (1449717288).

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

612343440 is a wasteful number, since it uses less digits than its factorization.

612343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 612343440 is about 24745.5741497343. The cubic root of 612343440 is about 849.1772615759.

Adding to 612343440 its reverse (44343216), we get a palindrome (656686656).

The spelling of 612343440 in words is "six hundred twelve million, three hundred forty-three thousand, four hundred forty".