818411520 has 96 divisors (see below), whose sum is σ = 2618375760. Its totient is φ = 218234880.

The previous prime is 818411513. The next prime is 818411527. The reversal of 818411520 is 25114818.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (818411513) and next prime (818411527).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818411527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17400 + ... + 44040.

Almost surely, 2^818411520 is an apocalyptic number.

818411520 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 818411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309187880).

818411520 is an abundant number, since it is smaller than the sum of its proper divisors (1799964240).

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

818411520 is a wasteful number, since it uses less digits than its factorization.

818411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26671 (or 26651 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 818411520 is about 28607.8926172481. The cubic root of 818411520 is about 935.3853807082.

The spelling of 818411520 in words is "eight hundred eighteen million, four hundred eleven thousand, five hundred twenty".