612726240 has 288 divisors, whose sum is σ = 2346914304. Its totient is φ = 131604480.

The previous prime is 612726211. The next prime is 612726241. The reversal of 612726240 is 42627216.

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 = 612726198 and 612726207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612726241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 970725 + ... + 971355.

It is an arithmetic number, because the mean of its divisors is an integer number (8149008).

Almost surely, 2^612726240 is an apocalyptic number.

612726240 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 612726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173457152).

612726240 is an abundant number, since it is smaller than the sum of its proper divisors (1734188064).

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

612726240 is a wasteful number, since it uses less digits than its factorization.

612726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 612726240 is about 24753.3076577657. The cubic root of 612726240 is about 849.3541760986.

The spelling of 612726240 in words is "six hundred twelve million, seven hundred twenty-six thousand, two hundred forty".