818040960 has 192 divisors, whose sum is σ = 3081836160. Its totient is φ = 198297600.

The previous prime is 818040943. The next prime is 818040997. The reversal of 818040960 is 69040818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56905 + ... + 69815.

It is an arithmetic number, because the mean of its divisors is an integer number (16051230).

Almost surely, 2^818040960 is an apocalyptic number.

818040960 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 818040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540918080).

818040960 is an abundant number, since it is smaller than the sum of its proper divisors (2263795200).

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

818040960 is a wasteful number, since it uses less digits than its factorization.

818040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12947 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 818040960 is about 28601.4153495942. The cubic root of 818040960 is about 935.2441849386.

The spelling of 818040960 in words is "eight hundred eighteen million, forty thousand, nine hundred sixty".