1931193936 has 120 divisors (see below), whose sum is σ = 6186211200. Its totient is φ = 550925568.

The previous prime is 1931193923. The next prime is 1931193961. The reversal of 1931193936 is 6393911391.

1931193936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1931193891 and 1931193900.

It is a congruent number.

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, 989890 + ... + 991838.

It is an arithmetic number, because the mean of its divisors is an integer number (51551760).

Almost surely, 2^1931193936 is an apocalyptic number.

1931193936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1931193936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093105600).

1931193936 is an abundant number, since it is smaller than the sum of its proper divisors (4255017264).

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

1931193936 is a wasteful number, since it uses less digits than its factorization.

1931193936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2944 counting only the distinct ones).

The product of its digits is 118098, while the sum is 45.

The square root of 1931193936 is about 43945.3516995825. The cubic root of 1931193936 is about 1245.3037513078.

The spelling of 1931193936 in words is "one billion, nine hundred thirty-one million, one hundred ninety-three thousand, nine hundred thirty-six".