857961984 has 320 divisors, whose sum is σ = 2757680640. Its totient is φ = 233963520.

The previous prime is 857961977. The next prime is 857961991. The reversal of 857961984 is 489169758.

It is an interprime number because it is at equal distance from previous prime (857961977) and next prime (857961991).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8329677 + ... + 8329779.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2^857961984 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 857961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378840320).

857961984 is an abundant number, since it is smaller than the sum of its proper divisors (1899718656).

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

857961984 is a wasteful number, since it uses less digits than its factorization.

857961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The square root of 857961984 is about 29290.9881021450. The cubic root of 857961984 is about 950.2167498044.

The spelling of 857961984 in words is "eight hundred fifty-seven million, nine hundred sixty-one thousand, nine hundred eighty-four".