857629696 has 176 divisors, whose sum is σ = 2181283200. Its totient is φ = 327352320.

The previous prime is 857629691. The next prime is 857629709. The reversal of 857629696 is 696926758.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×857629696² = 1471057390922104832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 857629696.

It is not an unprimeable number, because it can be changed into a prime (857629691) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5755830 + ... + 5755978.

Almost surely, 2^857629696 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 857629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090641600).

857629696 is an abundant number, since it is smaller than the sum of its proper divisors (1323653504).

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

857629696 is a wasteful number, since it uses less digits than its factorization.

857629696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The square root of 857629696 is about 29285.3153645304. The cubic root of 857629696 is about 950.0940612313.

The spelling of 857629696 in words is "eight hundred fifty-seven million, six hundred twenty-nine thousand, six hundred ninety-six".