896403600 has 135 divisors (see below), whose sum is σ = 3117015993. Its totient is φ = 238561920.

The previous prime is 896403593. The next prime is 896403617. The reversal of 896403600 is 6304698.

The square root of 896403600 is 29940.

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

896403600 is a `hidden beast` number, since 8 + 9 + 6 + 40 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 322705296 + 573698304 = 17964^2 + 23952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1796151 + ... + 1796649.

Almost surely, 2^896403600 is an apocalyptic number.

896403600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

896403600 is the 29940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896403600

896403600 is an abundant number, since it is smaller than the sum of its proper divisors (2220612393).

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

896403600 is a wasteful number, since it uses less digits than its factorization.

896403600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 896403600 is about 964.2016359379.

Multiplying 896403600 by its sum of digits (36), we get a square (32270529600 = 179640²).

896403600 divided by its sum of digits (36) gives a square (24900100 = 4990²).

It can be divided in two parts, 896 and 403600, that added together give a square (404496 = 636²).

The spelling of 896403600 in words is "eight hundred ninety-six million, four hundred three thousand, six hundred".