612524640 has 384 divisors, whose sum is σ = 2445327360. Its totient is φ = 125411328.

The previous prime is 612524617. The next prime is 612524659. The reversal of 612524640 is 46425216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 612524598 and 612524607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615971 + ... + 1616349.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2^612524640 is an apocalyptic number.

612524640 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 612524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222663680).

612524640 is an abundant number, since it is smaller than the sum of its proper divisors (1832802720).

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

612524640 is a wasteful number, since it uses less digits than its factorization.

612524640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 612524640 is about 24749.2351396967. The cubic root of 612524640 is about 849.2610140013.

Adding to 612524640 its reverse (46425216), we get a palindrome (658949856).

The spelling of 612524640 in words is "six hundred twelve million, five hundred twenty-four thousand, six hundred forty".