96529536 has 256 divisors, whose sum is σ = 317260800. Its totient is φ = 28753920.

The previous prime is 96529463. The next prime is 96529571. The reversal of 96529536 is 63592569.

96529536 is a `hidden beast` number, since 96 + 5 + 29 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96529491 and 96529500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821286 + ... + 1821338.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^96529536 is an apocalyptic number.

96529536 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 96529536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

96529536 is an abundant number, since it is smaller than the sum of its proper divisors (220731264).

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

96529536 is a wasteful number, since it uses less digits than its factorization.

96529536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 96529536 is about 9824.9445799964. The cubic root of 96529536 is about 458.7260529440.

The spelling of 96529536 in words is "ninety-six million, five hundred twenty-nine thousand, five hundred thirty-six".