612735488 has 120 divisors (see below), whose sum is σ = 1345437324. Its totient is φ = 278528000.

The previous prime is 612735481. The next prime is 612735521. The reversal of 612735488 is 884537216.

It can be written as a sum of positive squares in 6 ways, for example, as 482593024 + 130142464 = 21968^2 + 11408^2 .

It is not an unprimeable number, because it can be changed into a prime (612735481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6066638 + ... + 6066738.

Almost surely, 2^612735488 is an apocalyptic number.

612735488 is a gapful number since it is divisible by the number (68) 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 612735488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672718662).

612735488 is an abundant number, since it is smaller than the sum of its proper divisors (732701836).

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

612735488 is a wasteful number, since it uses less digits than its factorization.

612735488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 612735488 is about 24753.4944603787. The cubic root of 612735488 is about 849.3584492347.

It can be divided in two parts, 612 and 735488, that multiplied together give a square (450118656 = 21216²).

The spelling of 612735488 in words is "six hundred twelve million, seven hundred thirty-five thousand, four hundred eighty-eight".