96414528 has 112 divisors (see below), whose sum is σ = 304312320. Its totient is φ = 26340864.

The previous prime is 96414517. The next prime is 96414529. The reversal of 96414528 is 82541469.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×96414528² = 18591522418925568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96414529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29353 + ... + 32471.

Almost surely, 2^96414528 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 96414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

96414528 is an abundant number, since it is smaller than the sum of its proper divisors (207897792).

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

96414528 is a wasteful number, since it uses less digits than its factorization.

96414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3154 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 96414528 is about 9819.0899782006. The cubic root of 96414528 is about 458.5438008441.

The spelling of 96414528 in words is "ninety-six million, four hundred fourteen thousand, five hundred twenty-eight".