96064416 has 144 divisors (see below), whose sum is σ = 330692544. Its totient is φ = 25823232.

The previous prime is 96064403. The next prime is 96064417. The reversal of 96064416 is 61446069.

96064416 is a `hidden beast` number, since 9 + 6 + 0 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (96064417) 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, 32871 + ... + 35673.

It is an arithmetic number, because the mean of its divisors is an integer number (2296476).

Almost surely, 2^96064416 is an apocalyptic number.

96064416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165346272).

96064416 is an abundant number, since it is smaller than the sum of its proper divisors (234628128).

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

96064416 is a wasteful number, since it uses less digits than its factorization.

96064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96064416 is about 9801.2456351221. The cubic root of 96064416 is about 457.9880878909.

The spelling of 96064416 in words is "ninety-six million, sixty-four thousand, four hundred sixteen".