857580672 has 128 divisors (see below), whose sum is σ = 2520020160. Its totient is φ = 256684032.

The previous prime is 857580667. The next prime is 857580673. The reversal of 857580672 is 276085758.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (857580673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182383 + ... + 187025.

Almost surely, 2^857580672 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 857580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260010080).

857580672 is an abundant number, since it is smaller than the sum of its proper divisors (1662439488).

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

857580672 is a wasteful number, since it uses less digits than its factorization.

857580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 857580672 is about 29284.4783460454. The cubic root of 857580672 is about 950.0759577308.

The spelling of 857580672 in words is "eight hundred fifty-seven million, five hundred eighty thousand, six hundred seventy-two".