834420960 has 96 divisors (see below), whose sum is σ = 2920488480. Its totient is φ = 222511104.

The previous prime is 834420943. The next prime is 834420997. The reversal of 834420960 is 69024438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92257 + ... + 100896.

It is an arithmetic number, because the mean of its divisors is an integer number (30421755).

Almost surely, 2^834420960 is an apocalyptic number.

834420960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834420960 is an abundant number, since it is smaller than the sum of its proper divisors (2086067520).

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

834420960 is a wasteful number, since it uses less digits than its factorization.

834420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193177 (or 193163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 834420960 is about 28886.3455632588. The cubic root of 834420960 is about 941.4452492528.

The spelling of 834420960 in words is "eight hundred thirty-four million, four hundred twenty thousand, nine hundred sixty".