810615960 has 192 divisors, whose sum is σ = 3284686080. Its totient is φ = 168433920.

The previous prime is 810615937. The next prime is 810615977. The reversal of 810615960 is 69516018.

810615960 is a `hidden beast` number, since 8 + 1 + 0 + 61 + 596 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13099 + ... + 42341.

It is an arithmetic number, because the mean of its divisors is an integer number (17107740).

Almost surely, 2^810615960 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 810615960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642343040).

810615960 is an abundant number, since it is smaller than the sum of its proper divisors (2474070120).

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

810615960 is a wasteful number, since it uses less digits than its factorization.

810615960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29278 (or 29271 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 810615960 is about 28471.3181991983. The cubic root of 810615960 is about 932.4059796865.

The spelling of 810615960 in words is "eight hundred ten million, six hundred fifteen thousand, nine hundred sixty".