96461352 has 96 divisors (see below), whose sum is σ = 283144680. Its totient is φ = 29491200.

The previous prime is 96461329. The next prime is 96461353. The reversal of 96461352 is 25316469.

It is a happy number.

96461352 is a `hidden beast` number, since 9 + 646 + 1 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95765796 + 695556 = 9786^2 + 834^2 .

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

It is not an unprimeable number, because it can be changed into a prime (96461353) 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, 240352 + ... + 240752.

Almost surely, 2^96461352 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 96461352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141572340).

96461352 is an abundant number, since it is smaller than the sum of its proper divisors (186683328).

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

96461352 is a wasteful number, since it uses less digits than its factorization.

96461352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 96461352 is about 9821.4740237909. The cubic root of 96461352 is about 458.6180198805.

The spelling of 96461352 in words is "ninety-six million, four hundred sixty-one thousand, three hundred fifty-two".