833904960 has 224 divisors, whose sum is σ = 3124273152. Its totient is φ = 184412160.

The previous prime is 833904941. The next prime is 833904979. The reversal of 833904960 is 69409338.

It is an interprime number because it is at equal distance from previous prime (833904941) and next prime (833904979).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 206319 + ... + 210321.

It is an arithmetic number, because the mean of its divisors is an integer number (13947648).

Almost surely, 2^833904960 is an apocalyptic number.

833904960 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 833904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562136576).

833904960 is an abundant number, since it is smaller than the sum of its proper divisors (2290368192).

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

833904960 is a wasteful number, since it uses less digits than its factorization.

833904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 833904960 is about 28877.4126264802. The cubic root of 833904960 is about 941.2511482167.

The spelling of 833904960 in words is "eight hundred thirty-three million, nine hundred four thousand, nine hundred sixty".