830643264 has 168 divisors, whose sum is σ = 2681752320. Its totient is φ = 243532800.

The previous prime is 830643257. The next prime is 830643269. The reversal of 830643264 is 462346038.

It is a happy number.

830643264 is a `hidden beast` number, since 8 + 3 + 0 + 643 + 2 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (830643269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194302 + ... + 198530.

Almost surely, 2^830643264 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 830643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340876160).

830643264 is an abundant number, since it is smaller than the sum of its proper divisors (1851109056).

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

830643264 is a wasteful number, since it uses less digits than its factorization.

830643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 830643264 is about 28820.8824292387. The cubic root of 830643264 is about 940.0223564926.

The spelling of 830643264 in words is "eight hundred thirty million, six hundred forty-three thousand, two hundred sixty-four".