829365264 has 480 divisors, whose sum is σ = 3155075840. Its totient is φ = 203046912.

The previous prime is 829365263. The next prime is 829365283. The reversal of 829365264 is 462563928.

829365264 is a `hidden beast` number, since 8 + 29 + 365 + 264 = 666.

It is a super-2 number, since 2×829365264² = 1375693482259579392, which contains 22 as substring.

Its product of digits (622080) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (829365263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11361132 + ... + 11361204.

Almost surely, 2^829365264 is an apocalyptic number.

829365264 is a gapful number since it is divisible by the number (84) 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 829365264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577537920).

829365264 is an abundant number, since it is smaller than the sum of its proper divisors (2325710576).

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

829365264 is a wasteful number, since it uses less digits than its factorization.

829365264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 829365264 is about 28798.7024707711. The cubic root of 829365264 is about 939.5400133620.

The spelling of 829365264 in words is "eight hundred twenty-nine million, three hundred sixty-five thousand, two hundred sixty-four".