1940000832 has 672 divisors, whose sum is σ = 7668670464. Its totient is φ = 453427200.

The previous prime is 1940000807. The next prime is 1940000851. The reversal of 1940000832 is 2380000491.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 1940000796 and 1940000805.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23373463 + ... + 23373545.

It is an arithmetic number, because the mean of its divisors is an integer number (11411712).

Almost surely, 2^1940000832 is an apocalyptic number.

1940000832 is a gapful number since it is divisible by the number (12) 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 1940000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834335232).

1940000832 is an abundant number, since it is smaller than the sum of its proper divisors (5728669632).

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

1940000832 is a wasteful number, since it uses less digits than its factorization.

1940000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1940000832 is about 44045.4405358829. The cubic root of 1940000832 is about 1247.1938827721.

The spelling of 1940000832 in words is "one billion, nine hundred forty million, eight hundred thirty-two", and thus it is an aban number.