96365948 has 72 divisors (see below), whose sum is σ = 209235600. Its totient is φ = 38610432.

The previous prime is 96365923. The next prime is 96365953. The reversal of 96365948 is 84956369.

It is a junction number, because it is equal to n+sod(n) for n = 96365896 and 96365905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420698 + ... + 420926.

It is an arithmetic number, because the mean of its divisors is an integer number (2906050).

Almost surely, 2^96365948 is an apocalyptic number.

96365948 is a gapful number since it is divisible by the number (98) 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 96365948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104617800).

96365948 is an abundant number, since it is smaller than the sum of its proper divisors (112869652).

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

96365948 is a wasteful number, since it uses less digits than its factorization.

96365948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 50.

The square root of 96365948 is about 9816.6159138473. The cubic root of 96365948 is about 458.4667730326.

The spelling of 96365948 in words is "ninety-six million, three hundred sixty-five thousand, nine hundred forty-eight".