830641392 has 400 divisors, whose sum is σ = 2976793600. Its totient is φ = 218350080.

The previous prime is 830641381. The next prime is 830641397. The reversal of 830641392 is 293146038.

830641392 is a `hidden beast` number, since 8 + 3 + 0 + 641 + 3 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830641397) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10514409 + ... + 10514487.

It is an arithmetic number, because the mean of its divisors is an integer number (7441984).

Almost surely, 2^830641392 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 830641392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488396800).

830641392 is an abundant number, since it is smaller than the sum of its proper divisors (2146152208).

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

830641392 is a wasteful number, since it uses less digits than its factorization.

830641392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 830641392 is about 28820.8499527686. The cubic root of 830641392 is about 940.0216503237.

The spelling of 830641392 in words is "eight hundred thirty million, six hundred forty-one thousand, three hundred ninety-two".