818649360 has 120 divisors (see below), whose sum is σ = 2757941784. Its totient is φ = 217620480.

The previous prime is 818649353. The next prime is 818649361. The reversal of 818649360 is 63946818.

818649360 is a `hidden beast` number, since 81 + 86 + 493 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134931456 + 683717904 = 11616^2 + 26148^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (818649361) 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, 252550 + ... + 255770.

Almost surely, 2^818649360 is an apocalyptic number.

818649360 is a gapful number since it is divisible by the number (80) 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 818649360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378970892).

818649360 is an abundant number, since it is smaller than the sum of its proper divisors (1939292424).

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

818649360 is a wasteful number, since it uses less digits than its factorization.

818649360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 818649360 is about 28612.0492100793. The cubic root of 818649360 is about 935.4759832580.

The spelling of 818649360 in words is "eight hundred eighteen million, six hundred forty-nine thousand, three hundred sixty".