855596400 has 120 divisors (see below), whose sum is σ = 2902050864. Its totient is φ = 214732800.

The previous prime is 855596393. The next prime is 855596419. The reversal of 855596400 is 4695558.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571 + ... + 41370.

Almost surely, 2^855596400 is an apocalyptic number.

855596400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451025432).

855596400 is an abundant number, since it is smaller than the sum of its proper divisors (2046454464).

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

855596400 is a wasteful number, since it uses less digits than its factorization.

855596400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41979 (or 41968 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 855596400 is about 29250.5794814393. The cubic root of 855596400 is about 949.3426292505.

The spelling of 855596400 in words is "eight hundred fifty-five million, five hundred ninety-six thousand, four hundred".