819931940 has 24 divisors (see below), whose sum is σ = 1763855352. Its totient is φ = 319973120.

The previous prime is 819931933. The next prime is 819931969. The reversal of 819931940 is 49139918.

819931940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82700836 + 737231104 = 9094^2 + 27152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 819931891 and 819931900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499139 + ... + 500778.

It is an arithmetic number, because the mean of its divisors is an integer number (73493973).

Almost surely, 2^819931940 is an apocalyptic number.

It is an amenable number.

819931940 is an abundant number, since it is smaller than the sum of its proper divisors (943923412).

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

819931940 is a wasteful number, since it uses less digits than its factorization.

819931940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999967 (or 999965 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 819931940 is about 28634.4537227446. The cubic root of 819931940 is about 935.9642658698.

The spelling of 819931940 in words is "eight hundred nineteen million, nine hundred thirty-one thousand, nine hundred forty".