832669920 has 288 divisors, whose sum is σ = 3064449024. Its totient is φ = 205286400.

The previous prime is 832669919. The next prime is 832669949. The reversal of 832669920 is 29966238.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026315 + ... + 1027125.

It is an arithmetic number, because the mean of its divisors is an integer number (10640448).

Almost surely, 2^832669920 is an apocalyptic number.

832669920 is a gapful number since it is divisible by the number (80) 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 832669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532224512).

832669920 is an abundant number, since it is smaller than the sum of its proper divisors (2231779104).

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

832669920 is a wasteful number, since it uses less digits than its factorization.

832669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 832669920 is about 28856.0205156567. The cubic root of 832669920 is about 940.7862442456.

The spelling of 832669920 in words is "eight hundred thirty-two million, six hundred sixty-nine thousand, nine hundred twenty".