814385160 has 96 divisors (see below), whose sum is σ = 2653560000. Its totient is φ = 216610944.

The previous prime is 814385149. The next prime is 814385179. The reversal of 814385160 is 61583418.

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, 148141 + ... + 153539.

It is an arithmetic number, because the mean of its divisors is an integer number (27641250).

Almost surely, 2^814385160 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 814385160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780000).

814385160 is an abundant number, since it is smaller than the sum of its proper divisors (1839174840).

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

814385160 is a wasteful number, since it uses less digits than its factorization.

814385160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 814385160 is about 28537.4343626052. The cubic root of 814385160 is about 933.8489118511.

It can be divided in two parts, 81 and 4385160, that added together give a triangular number (4385241 = T₂₉₆₁).

The spelling of 814385160 in words is "eight hundred fourteen million, three hundred eighty-five thousand, one hundred sixty".