96507936 has 192 divisors, whose sum is σ = 327317760. Its totient is φ = 27433728.

The previous prime is 96507883. The next prime is 96507937. The reversal of 96507936 is 63970569.

96507936 is a modest number, since divided by 507936 gives 96 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 96507891 and 96507900.

It is not an unprimeable number, because it can be changed into a prime (96507937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489790 + ... + 489986.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 2^96507936 is an apocalyptic number.

96507936 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 96507936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163658880).

96507936 is an abundant number, since it is smaller than the sum of its proper divisors (230809824).

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

96507936 is an equidigital number, since it uses as much as digits as its factorization.

96507936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 96507936 is about 9823.8452756545. The cubic root of 96507936 is about 458.6918346715.

The spelling of 96507936 in words is "ninety-six million, five hundred seven thousand, nine hundred thirty-six".