96953344 has 44 divisors (see below), whose sum is σ = 196618444. Its totient is φ = 47775744.

The previous prime is 96953323. The next prime is 96953359. The reversal of 96953344 is 44335969.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 13778944 = 9120^2 + 3712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96953344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74104 + ... + 75400.

It is an arithmetic number, because the mean of its divisors is an integer number (4468601).

Almost surely, 2^96953344 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 96953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98309222).

96953344 is an abundant number, since it is smaller than the sum of its proper divisors (99665100).

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

96953344 is a wasteful number, since it uses less digits than its factorization.

96953344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1372 counting only the distinct ones).

The product of its digits is 349920, while the sum is 43.

The square root of 96953344 is about 9846.4889173756. The cubic root of 96953344 is about 459.3964106145.

The spelling of 96953344 in words is "ninety-six million, nine hundred fifty-three thousand, three hundred forty-four".