896409600 has 168 divisors, whose sum is σ = 2965978320. Its totient is φ = 238878720.

The previous prime is 896409599. The next prime is 896409601. The reversal of 896409600 is 6904698.

It is an interprime number because it is at equal distance from previous prime (896409599) and next prime (896409601).

It is not an unprimeable number, because it can be changed into a prime (896409601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613671 + ... + 615129.

Almost surely, 2^896409600 is an apocalyptic number.

896409600 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 896409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482989160).

896409600 is an abundant number, since it is smaller than the sum of its proper divisors (2069568720).

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

896409600 is a wasteful number, since it uses less digits than its factorization.

896409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 896409600 is about 29940.1002002331. The cubic root of 896409600 is about 964.2037871999.

The spelling of 896409600 in words is "eight hundred ninety-six million, four hundred nine thousand, six hundred".