612797640 has 256 divisors, whose sum is σ = 2396459520. Its totient is φ = 121651200.

The previous prime is 612797617. The next prime is 612797641. The reversal of 612797640 is 46797216.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 612797592 and 612797601.

It is not an unprimeable number, because it can be changed into a prime (612797641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183990 + ... + 187290.

It is an arithmetic number, because the mean of its divisors is an integer number (9361170).

Almost surely, 2^612797640 is an apocalyptic number.

612797640 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 612797640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

612797640 is an abundant number, since it is smaller than the sum of its proper divisors (1783661880).

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

612797640 is a wasteful number, since it uses less digits than its factorization.

612797640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 612797640 is about 24754.7498472515. The cubic root of 612797640 is about 849.3871661077.

The spelling of 612797640 in words is "six hundred twelve million, seven hundred ninety-seven thousand, six hundred forty".