820193142 has 32 divisors (see below), whose sum is σ = 1651668480. Its totient is φ = 271524960.

The previous prime is 820193123. The next prime is 820193177. The reversal of 820193142 is 241391028.

It is a congruent number.

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, 665667 + ... + 666897.

It is an arithmetic number, because the mean of its divisors is an integer number (51614640).

Almost surely, 2^820193142 is an apocalyptic number.

820193142 is an abundant number, since it is smaller than the sum of its proper divisors (831475338).

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

820193142 is a wasteful number, since it uses less digits than its factorization.

820193142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 820193142 is about 28639.0143335974. The cubic root of 820193142 is about 936.0636439484.

The spelling of 820193142 in words is "eight hundred twenty million, one hundred ninety-three thousand, one hundred forty-two".