856147600 has 405 divisors, whose sum is σ = 2775714921. Its totient is φ = 252806400.

The previous prime is 856147583. The next prime is 856147601. The reversal of 856147600 is 6741658.

The square root of 856147600 is 29260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 308213136 + 547934464 = 17556^2 + 23408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 856147600.

It is not an unprimeable number, because it can be changed into a prime (856147601) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 45060391 + ... + 45060409.

Almost surely, 2^856147600 is an apocalyptic number.

856147600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

856147600 is the 29260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856147600

856147600 is an abundant number, since it is smaller than the sum of its proper divisors (1919567321).

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

856147600 is a wasteful number, since it uses less digits than its factorization.

856147600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The cubic root of 856147600 is about 949.5464501670.

The spelling of 856147600 in words is "eight hundred fifty-six million, one hundred forty-seven thousand, six hundred".