96464800 has 144 divisors (see below), whose sum is σ = 256905432. Its totient is φ = 35225600.

The previous prime is 96464773. The next prime is 96464801. The reversal of 96464800 is 846469.

It can be written as a sum of positive squares in 12 ways, for example, as 11751184 + 84713616 = 3428^2 + 9204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96464800.

It is not an unprimeable number, because it can be changed into a prime (96464801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557514 + ... + 557686.

Almost surely, 2^96464800 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 96464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128452716).

96464800 is an abundant number, since it is smaller than the sum of its proper divisors (160440632).

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

96464800 is a wasteful number, since it uses less digits than its factorization.

96464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 96464800 is about 9821.6495559555. The cubic root of 96464800 is about 458.6234842316.

The spelling of 96464800 in words is "ninety-six million, four hundred sixty-four thousand, eight hundred".