896832400 has 60 divisors (see below), whose sum is σ = 2165990212. Its totient is φ = 356843520.

The previous prime is 896832383. The next prime is 896832437. The reversal of 896832400 is 4238698.

It can be written as a sum of positive squares in 6 ways, for example, as 109244304 + 787588096 = 10452^2 + 28064^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71392 + ... + 83008.

Almost surely, 2^896832400 is an apocalyptic number.

896832400 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 896832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082995106).

896832400 is an abundant number, since it is smaller than the sum of its proper divisors (1269157812).

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

896832400 is a wasteful number, since it uses less digits than its factorization.

896832400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828 (or 11817 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 896832400 is about 29947.1601324733. The cubic root of 896832400 is about 964.3553552944.

The spelling of 896832400 in words is "eight hundred ninety-six million, eight hundred thirty-two thousand, four hundred".