834865920 has 864 divisors, whose sum is σ = 3774859200. Its totient is φ = 173408256.

The previous prime is 834865907. The next prime is 834865943. The reversal of 834865920 is 29568438.

834865920 is a `hidden beast` number, since 83 + 486 + 5 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×834865920² = 1394002208754892800, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28788466 + ... + 28788494.

It is an arithmetic number, because the mean of its divisors is an integer number (4369050).

Almost surely, 2^834865920 is an apocalyptic number.

834865920 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 834865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887429600).

834865920 is an abundant number, since it is smaller than the sum of its proper divisors (2939993280).

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

834865920 is a wasteful number, since it uses less digits than its factorization.

834865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 834865920 is about 28894.0464455915. The cubic root of 834865920 is about 941.6125632980.

The spelling of 834865920 in words is "eight hundred thirty-four million, eight hundred sixty-five thousand, nine hundred twenty".