830136372 has 192 divisors, whose sum is σ = 2303078400. Its totient is φ = 230515200.

The previous prime is 830136347. The next prime is 830136407. The reversal of 830136372 is 273631038.

It is a super-2 number, since 2×830136372² = 1378252792234644768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8219122 + ... + 8219222.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2^830136372 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 830136372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151539200).

830136372 is an abundant number, since it is smaller than the sum of its proper divisors (1472942028).

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

830136372 is a wasteful number, since it uses less digits than its factorization.

830136372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 830136372 is about 28812.0872551782. The cubic root of 830136372 is about 939.8311044071.

The spelling of 830136372 in words is "eight hundred thirty million, one hundred thirty-six thousand, three hundred seventy-two".