96493968 has 30 divisors (see below), whose sum is σ = 270049494. Its totient is φ = 32164608.

The previous prime is 96493967. The next prime is 96494059. The reversal of 96493968 is 86939469.

It is a happy number.

96493968 is a `hidden beast` number, since 96 + 493 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91240704 + 5253264 = 9552^2 + 2292^2 .

It is a super-2 number, since 2×96493968² = 18622171720770048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96493967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 334905 + ... + 335192.

Almost surely, 2^96493968 is an apocalyptic number.

It is an amenable number.

96493968 is an abundant number, since it is smaller than the sum of its proper divisors (173555526).

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

96493968 is a wasteful number, since it uses less digits than its factorization.

96493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670111 (or 670102 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 96493968 is about 9823.1343266801. The cubic root of 96493968 is about 458.6697041368.

It can be divided in two parts, 96493 and 968, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 96493968 in words is "ninety-six million, four hundred ninety-three thousand, nine hundred sixty-eight".