835067664 has 80 divisors (see below), whose sum is σ = 2455467840. Its totient is φ = 271560960.

The previous prime is 835067633. The next prime is 835067671. The reversal of 835067664 is 466760538.

835067664 is a `hidden beast` number, since 83 + 506 + 7 + 6 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5862 + ... + 41285.

It is an arithmetic number, because the mean of its divisors is an integer number (30693348).

Almost surely, 2^835067664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835067664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227733920).

835067664 is an abundant number, since it is smaller than the sum of its proper divisors (1620400176).

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

835067664 is a wasteful number, since it uses less digits than its factorization.

835067664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47205 (or 47193 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 835067664 is about 28897.5373345204. The cubic root of 835067664 is about 941.6884035741.

The spelling of 835067664 in words is "eight hundred thirty-five million, sixty-seven thousand, six hundred sixty-four".