830974140 has 240 divisors, whose sum is σ = 2719073280. Its totient is φ = 212284800.

The previous prime is 830974129. The next prime is 830974159. The reversal of 830974140 is 41479038.

It is a happy number.

830974140 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 830974095 and 830974104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5503065 + ... + 5503215.

It is an arithmetic number, because the mean of its divisors is an integer number (11329472).

Almost surely, 2^830974140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830974140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359536640).

830974140 is an abundant number, since it is smaller than the sum of its proper divisors (1888099140).

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

830974140 is a wasteful number, since it uses less digits than its factorization.

830974140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 830974140 is about 28826.6220705791. The cubic root of 830974140 is about 940.1471551723.

830974140 divided by its sum of digits (36) gives a triangular number (23082615 = T₆₇₉₄).

The spelling of 830974140 in words is "eight hundred thirty million, nine hundred seventy-four thousand, one hundred forty".