930191040 has 280 divisors, whose sum is σ = 3505151232. Its totient is φ = 233349120.

The previous prime is 930191033. The next prime is 930191069. The reversal of 930191040 is 40191039.

930191040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 930190995 and 930191013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439585 + ... + 441695.

Almost surely, 2^930191040 is an apocalyptic number.

930191040 is a gapful number since it is divisible by the number (90) 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 930191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752575616).

930191040 is an abundant number, since it is smaller than the sum of its proper divisors (2574960192).

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

930191040 is a wasteful number, since it uses less digits than its factorization.

930191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 930191040 is about 30499.0334273072. The cubic root of 930191040 is about 976.1668397038.

The spelling of 930191040 in words is "nine hundred thirty million, one hundred ninety-one thousand, forty".