96164640 has 288 divisors, whose sum is σ = 386358336. Its totient is φ = 21473280.

The previous prime is 96164599. The next prime is 96164647. The reversal of 96164640 is 4646169.

96164640 is a `hidden beast` number, since 9 + 6 + 1 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×96164640³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 96164595 and 96164604.

It is not an unprimeable number, because it can be changed into a prime (96164647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205687 + ... + 206153.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522).

Almost surely, 2^96164640 is an apocalyptic number.

96164640 is a gapful number since it is divisible by the number (90) 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 96164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193179168).

96164640 is an abundant number, since it is smaller than the sum of its proper divisors (290193696).

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

96164640 is a wasteful number, since it uses less digits than its factorization.

96164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 501 counting only the distinct ones).

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

The square root of 96164640 is about 9806.3571217858. The cubic root of 96164640 is about 458.1473055156.

The spelling of 96164640 in words is "ninety-six million, one hundred sixty-four thousand, six hundred forty".