612930240 has 560 divisors, whose sum is σ = 2509369632. Its totient is φ = 140673024.

The previous prime is 612930209. The next prime is 612930259. The reversal of 612930240 is 42039216.

612930240 is a `hidden beast` number, since 612 + 9 + 3 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5728267 + ... + 5728373.

Almost surely, 2^612930240 is an apocalyptic number.

612930240 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 612930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254684816).

612930240 is an abundant number, since it is smaller than the sum of its proper divisors (1896439392).

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

612930240 is a wasteful number, since it uses less digits than its factorization.

612930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 612930240 is about 24757.4279762660. The cubic root of 612930240 is about 849.4484264695.

Adding to 612930240 its reverse (42039216), we get a palindrome (654969456).

The spelling of 612930240 in words is "six hundred twelve million, nine hundred thirty thousand, two hundred forty".