96445800 has 144 divisors (see below), whose sum is σ = 353414880. Its totient is φ = 23376000.

The previous prime is 96445799. The next prime is 96445837. The reversal of 96445800 is 854469.

96445800 is a `hidden beast` number, since 9 + 644 + 5 + 8 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 17365 + ... + 22235.

It is an arithmetic number, because the mean of its divisors is an integer number (2454270).

Almost surely, 2^96445800 is an apocalyptic number.

96445800 is a gapful number since it is divisible by the number (90) 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 96445800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176707440).

96445800 is an abundant number, since it is smaller than the sum of its proper divisors (256969080).

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

96445800 is a wasteful number, since it uses less digits than its factorization.

96445800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 96445800 is about 9820.6822573587. The cubic root of 96445800 is about 458.5933716297.

It can be divided in two parts, 964 and 45800, that added together give a palindrome (46764).

The spelling of 96445800 in words is "ninety-six million, four hundred forty-five thousand, eight hundred".