896966400 has 432 divisors, whose sum is σ = 3357785088. Its totient is φ = 208896000.

The previous prime is 896966381. The next prime is 896966407. The reversal of 896966400 is 4669698.

896966400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 896966400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896966407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6547132 + ... + 6547268.

Almost surely, 2^896966400 is an apocalyptic number.

896966400 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 896966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678892544).

896966400 is an abundant number, since it is smaller than the sum of its proper divisors (2460818688).

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

896966400 is a wasteful number, since it uses less digits than its factorization.

896966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 896966400 is about 29949.3973228177. The cubic root of 896966400 is about 964.4033825446.

The spelling of 896966400 in words is "eight hundred ninety-six million, nine hundred sixty-six thousand, four hundred".