96118416 has 135 divisors (see below), whose sum is σ = 290656899. Its totient is φ = 29647296.

The previous prime is 96118409. The next prime is 96118417. The reversal of 96118416 is 61481169.

It is a happy number.

The square root of 96118416 is 9804.

It is a perfect power (a square), and thus also a powerful number.

96118416 is nontrivially palindromic in base 7.

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

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

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (96118417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2235291 + ... + 2235333.

Almost surely, 2^96118416 is an apocalyptic number.

96118416 is the 9804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96118416

96118416 is an abundant number, since it is smaller than the sum of its proper divisors (194538483).

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

96118416 is a wasteful number, since it uses less digits than its factorization.

96118416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The cubic root of 96118416 is about 458.0738870008.

Multiplying 96118416 by its sum of digits (36), we get a square (3460262976 = 58824²).

96118416 divided by its sum of digits (36) gives a square (2669956 = 1634²).

The spelling of 96118416 in words is "ninety-six million, one hundred eighteen thousand, four hundred sixteen".