96538368 has 72 divisors (see below), whose sum is σ = 258386128. Its totient is φ = 31997952.

The previous prime is 96538363. The next prime is 96538369. The reversal of 96538368 is 86383569.

It is a super-2 number, since 2×96538368² = 18639312992206848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (933120) is a multiple of the sum of its prime factors (729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96538363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258630 + ... + 259002.

Almost surely, 2^96538368 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 96538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129193064).

96538368 is an abundant number, since it is smaller than the sum of its proper divisors (161847760).

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

96538368 is a wasteful number, since it uses less digits than its factorization.

96538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 715 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 96538368 is about 9825.3940379000. The cubic root of 96538368 is about 458.7400429450.

The spelling of 96538368 in words is "ninety-six million, five hundred thirty-eight thousand, three hundred sixty-eight".