612306240 has 448 divisors, whose sum is σ = 2463369216. Its totient is φ = 125411328.

The previous prime is 612306223. The next prime is 612306257. The reversal of 612306240 is 42603216.

It is an interprime number because it is at equal distance from previous prime (612306223) and next prime (612306257).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 612306240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3756399 + ... + 3756561.

It is an arithmetic number, because the mean of its divisors is an integer number (5498592).

Almost surely, 2^612306240 is an apocalyptic number.

612306240 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 612306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231684608).

612306240 is an abundant number, since it is smaller than the sum of its proper divisors (1851062976).

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

612306240 is a wasteful number, since it uses less digits than its factorization.

612306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 612306240 is about 24744.8224887551. The cubic root of 612306240 is about 849.1600653252.

Adding to 612306240 its reverse (42603216), we get a palindrome (654909456).

The spelling of 612306240 in words is "six hundred twelve million, three hundred six thousand, two hundred forty".