818093952 has 256 divisors, whose sum is σ = 2638944000. Its totient is φ = 248002560.

The previous prime is 818093933. The next prime is 818093953. The reversal of 818093952 is 259390818.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 818093898 and 818093907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818093953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5885499 + ... + 5885637.

It is an arithmetic number, because the mean of its divisors is an integer number (10308375).

Almost surely, 2^818093952 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 818093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319472000).

818093952 is an abundant number, since it is smaller than the sum of its proper divisors (1820850048).

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

818093952 is a wasteful number, since it uses less digits than its factorization.

818093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 818093952 is about 28602.3417223136. The cubic root of 818093952 is about 935.2643792777.

The spelling of 818093952 in words is "eight hundred eighteen million, ninety-three thousand, nine hundred fifty-two".