618535040 has 64 divisors (see below), whose sum is σ = 1510220160. Its totient is φ = 242138112.

The previous prime is 618535039. The next prime is 618535079. The reversal of 618535040 is 40535816.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 618534988 and 618535006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19799 + ... + 40361.

It is an arithmetic number, because the mean of its divisors is an integer number (23597190).

Almost surely, 2^618535040 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 618535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755110080).

618535040 is an abundant number, since it is smaller than the sum of its proper divisors (891685120).

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

618535040 is a wasteful number, since it uses less digits than its factorization.

618535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20629 (or 20617 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 618535040 is about 24870.3646937475. The cubic root of 618535040 is about 852.0297696549.

The spelling of 618535040 in words is "six hundred eighteen million, five hundred thirty-five thousand, forty".