834363264 has 384 divisors, whose sum is σ = 2917036800. Its totient is φ = 205701120.

The previous prime is 834363241. The next prime is 834363269. The reversal of 834363264 is 462363438.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834363269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26914929 + ... + 26914959.

It is an arithmetic number, because the mean of its divisors is an integer number (7596450).

Almost surely, 2^834363264 is an apocalyptic number.

834363264 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 834363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458518400).

834363264 is an abundant number, since it is smaller than the sum of its proper divisors (2082673536).

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

834363264 is a wasteful number, since it uses less digits than its factorization.

834363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 834363264 is about 28885.3468734582. The cubic root of 834363264 is about 941.4235500227.

The spelling of 834363264 in words is "eight hundred thirty-four million, three hundred sixty-three thousand, two hundred sixty-four".