618596352 has 288 divisors, whose sum is σ = 2039113440. Its totient is φ = 185794560.

The previous prime is 618596317. The next prime is 618596359. The reversal of 618596352 is 253695816.

618596352 is a `hidden beast` number, since 6 + 1 + 8 + 5 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×618596352² = 765322893415415808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 618596298 and 618596307.

It is not an unprimeable number, because it can be changed into a prime (618596359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5474248 + ... + 5474360.

It is an arithmetic number, because the mean of its divisors is an integer number (7080255).

Almost surely, 2^618596352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 618596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019556720).

618596352 is an abundant number, since it is smaller than the sum of its proper divisors (1420517088).

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

618596352 is a wasteful number, since it uses less digits than its factorization.

618596352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 618596352 is about 24871.5972949065. The cubic root of 618596352 is about 852.0579210772.

The spelling of 618596352 in words is "six hundred eighteen million, five hundred ninety-six thousand, three hundred fifty-two".