812160040 has 64 divisors (see below), whose sum is σ = 1961476560. Its totient is φ = 301547520.

The previous prime is 812160031. The next prime is 812160127. The reversal of 812160040 is 40061218.

It can be written as a sum of positive squares in 8 ways, for example, as 446815044 + 365344996 = 21138^2 + 19114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 812159993 and 812160020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41460 + ... + 57820.

Almost surely, 2^812160040 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 812160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980738280).

812160040 is an abundant number, since it is smaller than the sum of its proper divisors (1149316520).

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

812160040 is a wasteful number, since it uses less digits than its factorization.

812160040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462 (or 16458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 812160040 is about 28498.4217106843. The cubic root of 812160040 is about 932.9976269982.

The spelling of 812160040 in words is "eight hundred twelve million, one hundred sixty thousand, forty".