96401844 has 144 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 24678720.

The previous prime is 96401819. The next prime is 96401857. The reversal of 96401844 is 44810469.

It is a happy number.

96401844 is a `hidden beast` number, since 9 + 640 + 1 + 8 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 96401799 and 96401808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229867 + ... + 230285.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^96401844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96401844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

96401844 is an abundant number, since it is smaller than the sum of its proper divisors (211804236).

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

96401844 is a wasteful number, since it uses less digits than its factorization.

96401844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 96401844 is about 9818.4440722550. Note that the first 3 decimals coincide. The cubic root of 96401844 is about 458.5236917563.

The spelling of 96401844 in words is "ninety-six million, four hundred one thousand, eight hundred forty-four".